The measure of an angle is 26 degrees less than the measure of its supplement. Find the measure of the angle and the measure of the supplement.

Question

(A) The measure of the angle is 77 degree and the measure of the supplement is 64 degree

 

(B) the measure of the angle is 167 degree and the measure of the supplement is 64 degree

 

(C) the measure of the angle is 77 degree and the measure of the supplement is 103 degree

 

(D) the measure of the angle is 167 degree and the measure of the supplement is 103 degree

Answer 1

Angles are supplement means addition of angles are 180 degree

 

let's consider

 

measure of angle = x

 

measure of supplement angle =x-26

 

so

 

x+ x - 26 = 180

 

2x -26= 180

 

2x = 206

 

x = 103

 

measure of angle = x=103

 

measure of supplement angle =x-26=103-26=77

 

(C) the measure of the angle is 77 degree and the measure of the supplement is 103 degree