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Question

if an angle is 30 degree more thanonehalf of its complement, ifnd the mesure of the angle

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Solution

Let the angle be xo and hence its complement will be (90 – x)o whose one-half means (90 – x)o/2 .
According to the data given:
x = 30 + (90 – x)/2
or 3x = 150
or x = 50

Hence the angle measures 50o.


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