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

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

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