Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8x+2)° . What is the value of x ?(1 point) Responses 50 50 6 6 11 11 60

1 answer

The two angles are complementary, which means their measures add up to 90°.

Let's set up an equation to solve for x:
40° + (8x+2)° = 90°

Combine like terms:
8x + 42 = 90

Subtract 42 from both sides:
8x = 48

Divide both sides by 8:
x = 6

Therefore, the value of x is 6.
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