Question

two supplementary angles are in ratio 2 : 7 find the measure of angle

Answer 1

2x+7x=180
9x =180
X=20

Therefore
2x=40
7x=140

Answer 2

Answer:

40° and 140°

Explanation:

Let x and (180-x) are two supplementary angles.

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We know that ,

Sum of any two angles are equal to 180° is called supplementary angles.

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Now ,

it is given that,

Ratio of two supplementary angles = 2:7

$\implies\frac{x}{180-x} = \frac{2}{7}$

$\implies 7x=2(180-x)$

$\implies 7x=360-2x$

$\implies 7x+2x=360$

$\implies 9x=360$

$\implies x = \frac{360}{9}$

$\implies x = 40$

Therefore,

Required two supplementary angles are ,

x = 40°

180°-x = 180°-40° = 140°

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