Question

An angle and it’s supplement are in a ratio of 7:2 equation

Answer 1

140 degrees is one of em :)

Answer 2

140° and 40°

Explanation:

We know: Supplementary angles add up to 180°.

Let

α - a measure of a first angle,

(180° - α) - a measure of a second angle

The equation:

`(180-\alpha):\alpha=7:2\to(180-\alpha)/(\alpha)=(7)/(2)`

cross multiply

`7\alpha=2(180-\alpha)` use the distributive property

`7\alpha=(2)(180)-2\alpha` add 2α to both sides

`9\alpha=360` divide both sides by 9

`\alpha=40^o`

`180^o-\alpha=180^o-40^o=140^o`