227k views
3 votes
An angle measures 134° less than the measure of its supplementary angle. What is the measure of each angle?

User Desto
by
7.9k points

1 Answer

10 votes

Answer:

23° and 157°

Explanation:

Let n represent the smaller angle then the larger angle would be...

n+134

Supplementary angles add up to 180 degrees. We can use this information to set up an equation...

n+n+134=180

Combine like terms

2n+134=180

Subtract 134 from both sides

2n=46

Divide both sides by 2

n=23

n+134=157

23° and 157°

Related questions

asked Jun 26, 2024 138k views
Guilherme Lima asked Jun 26, 2024
by Guilherme Lima
8.4k points
2 answers
5 votes
138k views
1 answer
4 votes
62.9k views
asked Jan 4, 2024 119k views
Wboy asked Jan 4, 2024
by Wboy
7.7k points
1 answer
0 votes
119k views