an angle is 30° more than one half of its complement. find the angle in degree
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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.
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