Math CentralQuandaries & Queries


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.


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS