# geometry

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The measure of the angle’s supplement is 50 degree more than five times that of its complement. Find the measure of the angle described.

• geometry -

let the angle be x
then its supplement is 180 - x
and its compliment is 90-x

angle's supplement is 50 more than 5 times its compliment
180-x = 5(90-x) + 50
180-x = 450 - 5x + 50
4x = 320
x = 80

the angle described is 80°

check:
the supplement is 100
the compliment is 10

is 100 fifty more than 5 times 10 ?
YES!

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