Question

An angle is 8 times its supplementary. Find the angles

Answer 1

Let the angle be x degrees.

The supplementary angle of x is 180 - x degrees.

Given that the angle is 8 times its supplementary, we can write the equation:

x = 8(180 - x)

Expanding the right side of the equation:

x = 1440 - 8x

Adding 8x to both sides, we get:

9x = 1440

Dividing by 9, we find:

x = 160

Therefore, the angle is 160 degrees and its supplementary angle is 180 - 160 = 20 degrees.