Question

Find the measure of an angle, if seven times its complement is 100

less than three times its

suppleme​

Answer 1

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

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the angle be x

complement = (90-x)°

supplement = (180-x)°

7(90-x)° = 3(180-x)°-100

630-7x = 540-3x-100

630-7x = 440-3x

7x-3x = 630-440

4x = 190

x = 190/4

= 47.5°

Therefore, the angle is 47.5°

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