Question

An angle is 50 degree larger than it's supplement calculate the measure of it​

Answer 1

Let the smaller angle be x

Large rangle =x+50.

Given sum of supplementary angles is=180.

X+X+50=180

2X+50=180.

2X=180−50

2X=130

X= 130/2

X=65

Therefore smaller angle=65.

Larger angle=X+50=65+50=110.

Answer 2

Answer:

A = 115°

Step-by-step explanation:

To find out the supplement of a given angle, subtract it by 180°.

Given:

An angle is 50 degree larger than it's supplement.

To find:

Measure of the angle

SOLUTION:

Let the unknown angle be ∠A.

According to the question,

∠A = (180 - A) + 50

 

A   = 180 + 50 - A

     

A   = 230 - A

∴ A + A = 230

2A  = 230

∴ A = $\frac{230}2$

 

A = 115°