Question

measure of two supplementary angle are in the ratio of 2 is to 3 find the measure of bigger angle
A) 64degree
B)36degree
C)70degree
D)54degree​

Answer 1

Given :

•The measure of two supplementary angles are in the ratio =2:3

To Find :

•The measure of bigger angle =?

Formula :

$\bigstar \tt \: the \: sum \: of \: two \: supplementary \: angles \: = 180\degree$

Solution :

•Let the measure of two angles be 2x° and 3x°

As we know that,

•The sum of two supplementary angles =180°

According to given conditions :

$\implies \sf \: 2x + 3x = 180 \degree \\ \\ \implies \sf \: 5x = 180 \degree \\ \\ \implies \sf x = \frac{180 \degree}{5} \\ \\ \implies \boxed{ \sf{x = 36 \degree}}$

Required Angles :

$\bullet \sf \: 2x = 2 \times 36 \degree = 72 \degree$

$\\ \bullet \sf \: 3x = 3 \times 36 \degree = 108 \degree$