Question

If a pair of supplementary angles are in the ratio 3:7, find them

Answer 1

Answer:

Hint: Sum of supplementary angles is 180

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Step1: Evaluate using addition of ratio

Given

ratio =2:7

Let angles as 2x and 7x

As we know that sum of supplementary angle is 180

⇒2x+7x=180

⇒9x=180

⇒x=20

2x⇒2(20)=40

7x⇒7(20)=140

Hence, the angles are 40

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140

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.

Answer 2

Answer:

54' and 126'

Step-by-step explanation:

GIVEN,

RATIO OF THE ANGLES IS 3:7,

SUPPLEMENTARY ANGLES( SOME OF THE TWO ANGLES IS EQUAL TO 180' ),

LET THE ANGLES BE 3x and 7x.

hence,

=>3x +7x =180

=>10x=180

=>x=180/10

=>x=18

so,  1) 3x= 3*18= 54'    

     2) 7x= 7*18= 126'