Question

find the measure of an angle if six times it's complement is 20° less than two times it's supplement​

Answer 1

Answer:

Let the angle be x :

Complement = 90 - x

Supplement = 180 - x

6 ( 90 - x ) = 2 ( 180 - x ) - 20

540 - 6x = 360 - 2x - 20

540 - 360 + 20 = -2x + 6x

180 + 20 = 4x

x = 200 / 4 ; x = 50°

Answer is 50°

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Answer 2

Answer:

Hey!

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Let compliment be x

Let it's supplement be 90-x

Let angle be 90-x

A.T.Q

6 (x) + 12 = 2 (90+x)

6x+12= 180+2x

6x-2x= 180-12

4x= 168

x= 42

Angle measure = 90-42=48°

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Hope it helps...!!!