Question

The measure of the smallest angle of a right triangle is 20° less than the measure of the next larger angle. Find the measures of all three angles.

Answer 1

35, 55, and 90 degrees

Explanation:

The acute angles of a right triangle are complementary, so if the smallest angle measures x, the next largest angle measures (x+20) degrees. So, x+(x+20)=90, meaning x=35.

So, the angles measure 35, 55, and 90 degrees.