Question

The non-right angles of a right triangle are in the ratio 1: 5, Write an equation that could be used to find the measure of each angle.

Answer 1

Answer: 6x=90

Explanation:

We know that one angle in a right triangle is 90 degrees and the sum of all the angles is 180, so we can start by subtracting 90 from 180. We are left with 90 and now we have angle ratios which represent fractional quantities. We know that one of these quantities is 5 and the other is 1. Their sum is 6 and equals 90. So the proportion would be 6x = 90. The larger angle is 75 degrees and the smaller one is 15.