Question

If an angle is 30° more than one half of its complement, find the measure of
the angle

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Answer 1

Complementary angles sum up to 90 degree
30+x=90
X=90-30=60 degree

Answer 2

Answer:

let one angle be x

the compliment will be 90-x

half the compliment = 1/2 ×(90-x)

x = 1/2×(90-x)+30

x =1/2 × 90 - 1/2 × x +30

x =45 -1/2 × x +30

3x/2 = 75

3x = 150

x=50