Geometry and TrigonometryEasy–MediumAcute angles of a right triangle in a ratio
Geometry and Trigonometry practice question
In a right triangle, the two acute angles are in the ratio 2 : 1. What is the measure, in degrees, of the smaller acute angle?
Answer: 30
The acute angles sum to 90; 2 : 1 splits 90 into 60 and 30.
Common wrong answers
- If you answered 45
- 45 assumes the two angles are equal.
- If you answered 60
- 60 is the larger acute angle.
- If you answered 120
- 120 splits 180 instead of 90.
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- Easy–Medium
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What is the measure, in degrees, of angle B? - Easy–Medium
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