Question

Find the measure of an angle that is 8 degrees less than 3 time its supplement

Answer 1

133°

Explanation:

If the angle is "x"

We can say:

Complement of the angle is 90 - x

Supplement of the angle is 180 - x

Given, ANGLE IS 8 less than 3 times its SUPPLEMENT, so we can write:

x = 3(180 - x) - 8

So, now multiply and solve for x:

`x = 3(180 - x) - 8\\x=540-3x-8\\x=532-3x\\4x=532\\x=133`

Thus, the angle is 133 degrees