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

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Let us assume that the angle is x.

Then,its complement will be 90-x.

30 degree more than one half of its complement, i.e 30+(90-x)/2

According to the sum,

x=30+(90-x)/2

x=60+90-x/2

x=150-x/2

2x=150-x

3x=150

x=50.

Hence the angle is 50.

Answer 2

Answer:

complementary Angel means sum of two angels = 90

we have x = 30+(90-x)/2

2x = 30+90-x

3x = 120

x = 40

complementary is 50°