SOLUTION: Given: angle A= 4x-2 Angle B= (11x+17) Find x if the angles are complementary.

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Question 911488: Given: angle A= 4x-2 Angle B= (11x+17)
Find x if the angles are complementary.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
angle A=+4x-2
angle B=+11x%2B17
Find x if the angles are complementary.
Two angles are Complementary when they add up to 90 degrees (a Right Angle ).
A%2BB=90 ...substitute A and B with given values
4x-2%2B11x%2B17=90 ...solve for x
15x%2B15=90
15x=90-15
15x=75
x=75%2F15
x=5

so,angles are:
angle A=+4x-2 =>A=+4%2A5-2=>A=+20-2=>A=+18
angle B=+11x%2B17=>B=+11%2A5%2B17=>B=+55%2B17=>B=+72