Geometry and TrigonometryEasyAcute angle of a right triangle from its complement
Geometry and Trigonometry practice question
In a right triangle, one acute angle is 20° more than the other. What is the measure, in degrees, of the larger acute angle?
Answer: 55
The acute angles sum to 90: x + (x + 20) = 90 → x = 35, so the larger is 55.
Common wrong answers
- If you answered 35
- 35 is the smaller acute angle.
- If you answered 70
- 70 comes from 90 − 20, forgetting to split the rest.
- If you answered 110
- 110 comes from 180 − 70.
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