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38 votes
38 votes
The base angles of an

isosceles triangle
Measure (2x+40)° and
(5x+16)". find x and the
Measure of both angles.

User DSGym
by
3.2k points

1 Answer

11 votes
11 votes

Answer:

71

93.5

x=15.5

Explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!

User Cybersam
by
3.1k points