angle a and angle b are complementary angles. if the measure of angle b is 5 degrees more than four times the measure of angle q, find the measure of angle.

Question

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Answer 1

Angle a and b are complementary:  a + b = 90

angle b is 5 degrees more than four times the measure of angle a:  b = 4a + 5

 

a + 4a + 5 = 90

5a + 5 = 90

5a = 85

a = 17

 

a + b = 90

17 + b = 90

b = 73