Question

Find the measure of each acute angle in a right triangle where the measure of one acute angle is 3 times the sum of the measure of the other acute angle and 8.

Answer 1

A right triangle has 1 90 degree angle and the interior angles must add to 180.

3(x+8)+x+90=180
3x+24+x+90=180
4x+114=180
4x=66
x= 16.5

Plug this value in to find the last angle
16.5+90+x=180
106.5+x=180
x=73.5

Final answer: 73.5 degrees and 16.5 degrees