Question

The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle of the triangle?

Answer 1

The angles in the triangle and 10, 80 and 90

Explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90