Question

find the measure of an angle , if seven times its complement is 10 degree less than three times

Answer 1

Hey

Here is your answer,

let the angle be x
measure of its complement = (90-x)
measure of its supplement= (180-x)
7(90-x) =3(180-x)-10
630 - 7x=540x-3x -10
-7x+3x= 530-630
-4x=-100
x= 100/4
x=25

Hope it helps you!

Answer 2

Hey user !!

Here is your answer !!

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Let the angle be x.

Now compliment angle :- 90 - x

Now supplement angle :- 180 - x

7 ( 90 - x ) = 3 ( 180 - x ) - 10

630 - 7 x = 540 - 3 x - 10

630 - 540 = - 3 x + 7 x - 10

90 = 4 x - 10

90 + 10 = 4 x

100 = 4 x

x = 25

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