Geometry and TrigonometryVery hardAcute angle from a sine-cosine identity
Geometry and Trigonometry practice question
In a right triangle, A and B are the two acute angles, and the measure of angle A is twice the measure of angle B. What is the measure, in degrees, of angle A?
Answer: 60
A + B = 90 and A = 2B give 3B = 90, so B = 30 and A = 60.
Common wrong answers
- If you answered 30
- 30 is angle B.
- If you answered 45
- 45 assumes the acute angles are equal.
- If you answered 120
- 120 doubles the right angle.
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