Question

among two supplementary angles the measure of the larger angle is 44 degree more than the measure of the smaller. Find their measures.​

Answer 1

Step-by-step explanation:

let angles be A and B

let angle A be = x

and larger angle B be = x+44°

According to question

A+B=180°

x+x+44=180°

2x+44=180°

2x=180°- 44°

2x=136°

x=136°÷2

x=68°

A=x=68° and B=x+44°=68°+44°=112°

So,angle A=68° and B=112°

Answer 2

Given:-

• Among two supplementary angles the measure of the larger angles is 44 degrees more than the measure of the smaller.

To find:-

• Find the measure of each angle ?

Solutions:-

• Let the larger angle be x + 44
• Let the smaller angle be x

（Larger angle + smaller angle = 180°）

We know that

The sum of supplementary angles is 180°.

According to question:-

=> 180 = x + x + 44

=> 180 = 2x + 44

=> 180 - 44 = 2x

=> 136 = 2x

=> 136/2 = x

=> x = 68

So,

• Larger angle = x + 44 = 68+44 = 112°
• Smaller angle = x = 68°

Hence, the measure of each angle is 68° and 112°