Question

The complement of an angle is 40° more than four times itself.find the supplement angle​

Answer 1

Supplement angle: 170°

Explanation:

Equations

Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:

`90-x=40+4x`

Simplifying:

`90-40=4x+x=5x`

Solving:

`x=50/5=10`

The angle is 10°. The supplement angle is 180°-10°=170°.

Supplement angle: 170°