Question

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

Answer 1

Answer:

140° and 40°

Step-by-step 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:

$(180-\alpha):\alpha=7:2\to\dfrac{180-\alpha}{\alpha}=\dfrac{7}{2}$

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

$\alpha=40^o$

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

Answer 2

140 degrees is one of em :)