Question 404259

Angle A and Angle B are complementary angles. If Angle A is six more than three times Angle B, what are the measures of the angles?
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Let x = measure of angle B
then
3x+6 = measure of angle A
.
Sum of complementary angles equal 90 degrees:
x + 3x+6 = 90
4x+6 = 90
4x = 84
x = 21 degrees (angle B)
.
angle A:
3x+6 = 3(21)+6 = 63+6 = 69 degrees