Question

If the supplement of an angle is 7 times its complement. Then find the complement of the angle

Answer 1

Answer:

15

Step-by-step explanation:

let the supplement be 180-x and the complement be 90-x .

Then,

7(90-x)=180-x

630-7x=180-x

6x=450

x=75.

Answer 2

Step-by-step explanation:

Let the angle be x.

So it's supplementary angle = 180 - x

It's Complementary angle = 90 - x

A/q 180 - x = 7(90 - x)

180 - x = 630 - 7x

7x - x = 630 - 180

6x = 450

x = 450/6

x = 75°

So complementary angle = 90° - 75°

= 15°

Hope this helps..