Let’s solve each problem step by step. Remember: a right angle is 90°, and in each diagram, the angles shown add up to 90° (unless it's problem 8 — we’ll check that one carefully).
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Problem 1:
We have a right angle (90°) split into two parts: one is 35°, the other is missing.
So:
Missing angle = 90° - 35° =
55°
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Problem 2:
Right angle split into 45° and unknown.
Missing angle = 90° - 45° =
45°
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Problem 3:
Right angle with 28° given.
Missing angle = 90° - 28° =
62°
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Problem 4:
Right angle with 67° given.
Missing angle = 90° - 67° =
23°
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Problem 5:
Right angle with 41° given.
Missing angle = 90° - 41° =
49°
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Problem 6:
This one has THREE angles adding up to 90°: 15°, 29°, and the missing one.
First, add the known ones: 15 + 29 = 44°
Then subtract from 90: 90 - 44 =
46°
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Problem 7:
Looks like a right angle again? Wait — actually, looking at the shape, it’s still forming a 90° corner. The 32° is part of it.
So missing angle = 90° - 32° =
58°
*(Note: Even though the lines are drawn differently, the arc shows it’s still measuring within a right angle.)*
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Problem 8:
This one is different! It’s NOT a single right angle. Instead, there are three angles meeting at a point: 17°, 22°, and the middle one. But wait — do they form a straight line or something else?
Actually, looking closely: the outer rays form an angle that looks like it might be 90° total? Let’s test that.
If the whole big angle is 90°, then:
Total = 17° + ? + 22° = 90°
So: 17 + 22 = 39°
Then missing = 90 - 39 =
51°
Yes — because the diagram shows all three angles together making a right angle (the arc spans all three). So this fits.
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✔ All answers checked.
Final Answer:
1) 55°
2) 45°
3) 62°
4) 23°
5) 49°
6) 46°
7) 58°
8) 51°
Parent Tip: Review the logic above to help your child master the concept of geometry worksheets for 5th graders.
