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| Math Central | Quandaries & Queries |
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Question from Crystal, a student: In the right triangle the ratio of the measure of the two acute angles is 4:1. What is the measure in degrees of the larger acute angle? |
Hi Crystal,
The sum of the measures of the three angles in any triangle is 180 degrees. The right angle in your triangle has a measure of 90 degrees so the sum of the measures of the two remaining angles is 90 degrees. Divide the 90 degrees into 5 equal parts and assign one part to one of the angles and 4 parts to the other angle.
Penny
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