Question

Find the measures of the angles of a right triangle where one of the two acute angles measure 8 times the otehr.

Answer 1

The answer is 10, 80, 90.

Answer 2

Explanation:

The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.

<m1 + <m2 + 90 = 180 Subtract 90 from both sides.

<m1 + <m2 + 90 - 90 = 180 - 90 Combine

<m1 + <m2 = 90

Let m1 = 9*m2 Substitute.

9m2 + m2 = 90 Combine

10 m2 = 90 Divide by 10

10m2/10 = 90/10

m2 = 9

m1 = 9*m2

m1 = 9 * 9

m1 = 81

The right angle = 90

m1 = 81

m2 = 9