An angle is 9 more than half of its supplement. find the measure of the smaller angle.

The smaller angle = 66°

let x be the angle then (180 - x) + 9 represents 9 more than half of it's supplement

equating the 2 expressions gives

x = (180 - x ) + 9 → (distribute and simplify right side )

x = 90 - x + 9 = 99 - x

add x to both sides

x = 99

multiply both sides by 2 and divide by 3 gives

x = 66

the supplement of 66° is 180° - 66° = 114°

Thus the smaller angle is 66°

why can't you?

step-by-step explanation:

oof

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