Complementary and Supplementary Angles Worksheets - Free Printable

Let’s solve this step by step.

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Part A: Find the pair of angles that are complementary.

Complementary angles add up to 90 degrees.

Check each option:

a) 67°, 2° → 67 + 2 = 69° → Not 90
b) 43°, 57° → 43 + 57 = 100° → Not 90
c) 38°, 62° → 38 + 62 = 100° → Not 90
d) 58°, 32° → 58 + 32 = 90° ✔ YES!

✔ So, answer for A is d) 58°, 32°

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Part B: Match the following — find the complement of each angle.

Remember: Complement = 90° - given angle

1) Complement of 30° → 90 - 30 = 60°
2) Complement of 12° → 90 - 12 = 78°
3) Complement of 50° → 90 - 50 = 40°
4) Complement of 60° → 90 - 60 = 30°

Now match:

- 1 → 60°
- 2 → 78°
- 3 → 40°
- 4 → 30°

Looking at the options on the right:
Options are: 6°, 90°, 30°, 60° — wait, we have 78° and 40° too? Hmm… maybe the image has more options or it's a typo? But based on standard math:

Actually, looking again — perhaps the matching boxes only show some choices, but let’s assume we pick from what makes sense.

Wait — in the image, the right side shows:
○ 6°
○ 90°
○ 30°
○ 60°

But our answers include 78° and 40° which aren’t listed. That suggests maybe there’s a mistake in my reading? Or perhaps the question expects us to match only those that fit?

Wait — let me double-check the original problem.

Actually, re-examining: The “Match the following” section likely has four items on left and four on right — even if not all are visible in text description. Since this is a worksheet, probably the full set includes:

Left:
1) Complement of 30° → 60°
2) Complement of 12° → 78° (but 78° may not be an option?)
Wait — maybe I misread the angles?

Hold on — perhaps the second one is “Complement of 84°”? No, user wrote “12°”.

Alternatively — maybe the right-hand column has more options than shown here? Since this is text-based, I’ll go with correct math.

But since the instruction says “match”, and assuming the right side has: 6°, 90°, 30°, 60° — then only 1 and 4 can be matched directly.

That doesn’t make sense. Let me think differently.

Perhaps the numbers on the right are meant to be matched as:

From calculation:

1) 30° → complement 60° → matches ○ 60°
2) 12° → complement 78° → not listed? Wait — maybe it’s “Complement of 84°”? 90-84=6° → oh! Maybe it’s a typo in transcription?

Wait — user wrote:
“1) Complement of 30°
2) Complement of 12°
3) Complement of 50°
4) Complement of 60°”

And右边 options: 6°, 90°, 30°, 60°

So:

If 2) was “Complement of 84°”, then 90-84=6° → matches 6°
But it says 12° → 78° — not available.

Similarly, 3) 50° → 40° — not available.

This suggests either:

- There’s a mistake in the problem transcription, OR
- We’re supposed to choose closest or something — but no, math is exact.

Alternative idea: Maybe “Complement of 12°” is meant to be matched with nothing? Unlikely.

Wait — perhaps the right-side list is incomplete in the text version. In real worksheets, often all matches exist.

Given that, and to proceed logically, I’ll assume the intended matches are:

1) Complement of 30° → 60°
2) Complement of 84° → 6° (if it were 84°, but it says 12° — conflict)

Wait — let’s check part C first, maybe it helps.

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Part C: Complete the in and out boxes using Rule: Complement

Rule: Out = 90 - In

First box:

In: 6° → Out = 90 - 6 = 84°
In: 22° → Out = 90 - 22 = 68°
In: 29° → Out = 90 - 29 = 61°

Second box:

In: 14° → Out = 90 - 14 = 76°
In: 35° → Out = 90 - 35 = 55°
In: 67° → Out = 90 - 67 = 23°

These are straightforward.

Back to Part B — perhaps the “Complement of 12°” is actually “Complement of 84°”? Because 90-84=6°, which is an option.

Similarly, “Complement of 50°” → 40° — not listed, but if it were “Complement of 60°” → 30°, which is listed.

Wait — item 4 is “Complement of 60°” → 30° → matches ○ 30°

Item 1: 30° → 60° → matches ○ 60°

Then what about 2 and 3?

If 2 is “Complement of 84°” → 6° → matches ○ 6°

And 3 is “Complement of 0°”? 90-0=90° → matches ○ 90° — but it says 50°.

This is confusing.

Perhaps the original worksheet has:

1) Complement of 30° → 60°
2) Complement of 84° → 6°
3) Complement of 0° → 90°
4) Complement of 60° → 30°

That would use all options: 6°, 90°, 30°, 60°

But user wrote “12°” and “50°”.

Given the constraints, and since this is a common type of problem, I suspect there might be a transcription error, but for accuracy, I’ll go with the math as written.

However, to complete the task, let’s assume the matching is:

Since only 1 and 4 give results in the provided options:

1) 30° → 60°
4) 60° → 30°

For 2) 12° → 78° — not in options, so perhaps skip or note error.

But that’s not satisfactory.

Another possibility: “Complement of 12°” might be misread — perhaps it’s “Supplement”? No, title is Complementary Angles.

I think the best approach is to provide the correct mathematical answers, and for matching, pair them correctly even if options seem limited.

So:

Correct matches:

1) Complement of 30° → 60°
2) Complement of 12° → 78° (not in given options — issue)
3) Complement of 50° → 40° (not in options)
4) Complement of 60° → 30°

Since the right side has 6°, 90°, 30°, 60°, perhaps:

- 1 → 60°
- 4 → 30°
- And for 2 and 3, if we force: maybe 2 is meant to be 84° → 6°, and 3 is 0° → 90°, but that’s changing the problem.

Given the instructions, I’ll proceed with correct calculations and note that for matching, based on standard problems, it’s likely:

Assume the angles are:

1) 30° → 60°
2) 84° → 6° (even though written as 12°, perhaps typo)
3) 0° → 90° (written as 50°? unlikely)
4) 60° → 30°

To resolve, I’ll use the values as given and state the complements, and for matching, select from available.

But since the user expects an answer, and in many such worksheets, the pairs are designed to match, I’ll go with:

After re-thinking, perhaps "Complement of 12°" is correct, and the option 78° is implied, but not listed — so maybe the right side has more options.

For the sake of completing, I'll provide the numerical answers for B as:

1) 60°
2) 78°
3) 40°
4) 30°

And for matching, if forced to choose from 6°, 90°, 30°, 60°, then:

- 1 matches 60°
- 4 matches 30°
- 2 and 3 don't match any — so perhaps the problem has different numbers.

I recall that in some versions, it's:

Complement of 30° -> 60°
Complement of 84° -> 6°
Complement of 0° -> 90°
Complement of 60° -> 30°

So likely, the "12°" is a typo for "84°", and "50°" for "0°".

Given that, and to align with the options, I'll assume:

2) Complement of 84° → 6°
3) Complement of 0° → 90°

Even though user said 12° and 50°, for the matching to work, it must be.

So final decision for B:

1) Complement of 30° → 60°
2) Complement of 84° → 6° (assuming typo)
3) Complement of 0° → 90° (assuming typo)
4) Complement of 60° → 30°

Thus matches:

1 - 60°
2 - 6°
3 - 90°
4 - 30°

This uses all options.

For Part C, as calculated:

First table:
In: 6° → Out: 84°
In: 22° → Out: 68°
In: 29° → Out: 61°

Second table:
In: 14° → Out: 76°
In: 35° → Out: 55°
In: 67° → Out: 23°

Now, compiling all answers.

Final Answer:

A) d) 58°, 32°

B)
1) 60°
2) 6° (assuming complement of 84°)
3) 90° (assuming complement of 0°)
4) 30°

C)
First box:
6° → 84°
22° → 68°
29° → 61°

Second box:
14° → 76°
35° → 55°
67° → 23°

Note: For B, if the angles are indeed 12° and 50°, then complements are 78° and 40°, which may not match the given options, suggesting a possible typo in the problem. Based on standard worksheet design, the above matching is assumed.

But to be precise with user input, let's stick to given numbers and provide complements, and for matching, indicate the correct value even if not in options.

However, since the instruction is to solve accurately, and for B, the matches should be:

With given angles:

1) 30° → 60°
2) 12° → 78°
3) 50° → 40°
4) 60° → 30°

And if the right side has only 6°, 90°, 30°, 60°, then only 1 and 4 can be matched, which is odd.

Perhaps the "Match the following" has arrows or lines, and we need to connect, but in text, I'll list the complement for each.

For the purpose of this response, I'll provide the correct complements for B, and for the final answer, list them as per calculation.

So revised Final Answer for B:

1) 60°
2) 78°
3) 40°
4) 30°

And assume the matching is done accordingly, even if options are limited.

But to match the format, perhaps the expected answer is:

B)
1 - 60°
2 - 78° (not in options, so perhaps omit)
I think I need to box the answers as per standard.

Let me look for similar problems online or recall: typically, for "complement of 30°" it's 60°, etc.

I think for safety, I'll provide the numerical answers.

Final Decision:

A) d

B)
1) 60°
2) 78°
3) 40°
4) 30°

C)
First table outputs: 84°, 68°, 61°
Second table outputs: 76°, 55°, 23°

Now for the Final Answer section.

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Final Answer:
A) d) 58°, 32°
B) 1) 60°, 2) 78°, 3) 40°, 4) 30°
C) First box: 84°, 68°, 61°; Second box: 76°, 55°, 23°