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

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1 vote
140 degrees is one of em :)
User Roshan Bagdiya
by
8.1k points
0 votes

Answer:

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

User Sarkouille
by
8.4k points

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