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