Question

two supplementary angles are in ratio 2 is to 7 find the measures of angle

Answer 1

Hii friend,

Ratio of the two supplementary angle are 2:7

Let X be common multiply in both the supplementary angle.

The angle become 2X and 7X.

We know that the sum of two supplementary angle is 180°.

2X +7X = 180

9X = 180°

X = 180°/9

X = 20°

Therefore,

First Angle = 2X = 2×20 = 40°

Second Angle = 7X = 7×20 = 140°.

HOPE IT WILL HELP YOU.... :-)

Answer 2

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$\large\underline{Given:-}$

• Ratio ⇢ 2 : 7

$\large\underline{To find:-}$

• find the measures of both the angle.

$\large\underline{Solutions:-}$

• Let the two Supplementary Angle be 2x and 7x.

✰ We know that,

»★ Supplementary Angle have measure 180°

»Now,

$\: \: \: \: \: \leadsto \: \: {2x} \: + \: {7x} \: \: = \: \: {180} \: \degree$

$\: \: \: \: \: \leadsto \: \: {9x} \: \: = \: \: {180} \: \degree$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \frac{180}{9} \: \degree$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {20} \: \degree$

»★ So, The Ratio of two Supplementary Angle is 2x and 7x.

$\: \: \: \: \: \leadsto \: \: {2x} \: \: \leadsto \: \: {2} \: \times \: {20} \: \: \leadsto \: \: {40} \: \degree$

$\: \: \: \: \: \leadsto \: \: {7x} \: \: \leadsto \: \: {7} \: \times \: {20} \: \: \leadsto \: \: {140} \: \degree$

»★ Hence,

$\: \: \: \: \: \star \: \: \: The \: \: Ratio \: \: of \: \: two \: \: Supplementary \: \: Angle \: \: is \: \: {40} \: \degree \: \: and \: \: {140} \: \degree. \: \: \: \star$

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