20,257 views
38 votes
38 votes
two angles are supplementary. the measure of the larger angle is 3x the measure of the smaller angle. What is the measure of the smaller angle?

User Kris Wallsmith
by
2.9k points

1 Answer

17 votes
17 votes

EXPLANATION

If the measure of the larger angle is 3x the measure of the smaller one, the relationship is as follows:

3x + x = 180

Adding both terms:

4x = 180

Dividing both sides by 4:

x = 180 / 4

Simplifying:

x = 45

The measure of the smaller angle is x= 45 degrees

User Simon Steinberger
by
3.3k points