Question

the angle which is equal to 8 times it complement

Answer 1

Let the one angle be x.
Then the other angle will be 8x.


We know that the sum of complementary angles is 90°.

Therefore,
x + 8x = 90°
9x = 90°
x = 10.
And, 8x = 8 X 10 = 80°.

Hence, the angle which is equal to 8 times of its complement is 80°.

Answer 2

Let one angle be X .

Then the other angle would be 8x.

We know that complement angles add up to 90 degrees .

Therefore, X+9X = 90

10X = 90

X = 9

Therefore the angles are 9 and 72