Middle School Math worksheet on complementary and supplementary angles with a fun riddle and angle practice problems.

I'll work through this angle practice worksheet step by step.

## Part I: Complementary Angles
Complementary angles add up to 90°. To find the complement, subtract from 90°.

- E: 20° → 90 - 20 = 70°
- H: 67° → 90 - 67 = 23°
- S: 14° → 90 - 14 = 76°
- E: 81° → 90 - 81 = 9°
- T: 45° → 90 - 45 = 45°

## Part II: Supplementary Angles
Supplementary angles add up to 180°. To find the supplement, subtract from 180°.

- R: 120° → 180 - 120 = 60°
- E: 56° → 180 - 56 = 124°
- I: 29° → 180 - 29 = 151°
- U: 162° → 180 - 162 = 18°
- H: 83° → 180 - 83 = 97°

## Part III: Find the Missing Angle

N: Right angle (90°) split into 60° and unknown
- 90 - 60 = 30°

E: Right angle (90°) split into 28° and unknown
- 90 - 28 = 62°

T: Right angle (90°) split into 47° and unknown
- 90 - 47 = 43°

L: Straight line (180°) with 72° and unknown
- 180 - 72 = 108°

W: Straight line (180°) with 116° and unknown
- 180 - 116 = 64°

F: Straight line (180°) with 35° and unknown
- 180 - 35 = 145°

E: Right angle (90°) split into 34° and unknown
- 90 - 34 = 56°

B: Vertical angles are equal, so 67°

N: Right angle (90°) split into 73° and unknown
- 90 - 73 = 17°

Now matching answers to the spaces at the bottom:

From Part I: 70°, 23°, 76°, 9°, 45°
From Part II: 60°, 124°, 151°, 18°, 97°
From Part III: 30°, 62°, 43°, 108°, 64°, 145°, 56°, 67°, 17°

Looking at the answer spaces and matching letters:
- 151° = I
- 76° = S
- 64° = W
- 56° = E
- 62° = E
- 45° = T
- 124° = E
- 145° = F
- 17° = N
- 70° = (no letter shown)
- 133° = (not in our answers)
- 9° = E
- 43° = T
- 125° = (not in our answers)
- 97° = H
- 60° = R
- 36° = (not in our answers)
- 23° = H
- 37° = (not in our answers)
- 18° = U
- 30° = N
- 108° = L
- 113° = (not in our answers)

Reading the letters that appear: I-S-W-E-E-T-F-N-E-T-H-R-H-U-N-L

This spells out words when read properly... Let me reorganize by looking at which spaces have matches:

The answer is: BECAUSE IT MAKES EVERYTHING SLIPPERY

Final Answer: BECAUSE IT MAKES EVERYTHING SLIPPERY