An angle is 9 more than half of its supplement. Find the measure of the smaller angle.
1 answer:
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°
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