25.1k views
0 votes
The measure of an angle is one hundred twenty-four degrees more than its supplement. What are the measures of the two angles?

Please show work :)

2 Answers

3 votes
2 supplementary angles equal 180degrees
if one is 124
the other one is 180-124=56 degree
User Sneak
by
8.1k points
5 votes
Supplements sum to 180. If we make the angles x and y:
x + y = 180
x = y + 124
(y + 124) + y = 180
2y + 124 = 180
2y + 124 -124 = 180-124
2y = 56
2y/2 = 56/2
y = 28°
x = y + 124
x = 28 + 124 = 152°
So they are 28° and 152°
User Storoj
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories