Find the measures of two supplementary angles if their measures are in the given ratio.3:7

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Wed Aug 31 2022

We know, sum of two supplementary angles is equal to 180°.

Ratio of supplementary angles = 3:7

Let Common factors of ratio be x

Then, 3x : 7x

3x + 7x = 180°

10x = 180°

x = 180°/10

x = 18°

So, angles :

3x = 3 × 18 = 54°

7x = 7 × 18 ° = 126°