Question

find the measure of an angle if five times its complement is 60 degree less than twice its supplement​

Answer 1

Let the angle be x.

so, 2 times of its supplement is 2(180°-x)

or 360°-2x.

now, 5 times of its complement is 5(90°-x)

or 450°-5x.

Now the equation is:-

450°-5x+60°= 360°-2x.

510°-360°= -2x+5x.

150°= 3x.

x=150°/3=50°.

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Answer 2

Step-by-step explanation:

let the angle be x

90-x

180-x

50(90-x)+60=2(180-x)

450-5x+60=360-2x

510-360=3x

150=3x

x= 150/3=50

x=50

_ the angle of measure should be 50