Question

If a right triangle, the acute angles measure x+15 and 2x degrees. What is the measure of the smallest angle of the triangle?

Answer 1

The measure of the smallest angle of the triangle is 40.

Explanation:

A right triangle adds up to 180

x+15+2x+90=180

Combine like terms

3x+105=180

Subtract both sides by 105

3x+105=180

-105=-105

___________

3x=75 Divide by 3

x=25

Plug in 25 for x for equation expression

90=90

25+15=40

2(25)=50

Therefore for the smallest angle is 40

Hope this helps