Question

the sum of the measures of the angles of any triangle is 180 degrees. in triangle ABC, angles A and B have the same measure, of bile the measure of angle C is 72 degrees larger than each of A and B. what are the measures of the three angles?

Answer 1

Angle C= 108

Angles A and B=36

Explanation:

180-72=108

108-72= 36

Check

36+36=72

72+108=180

Answer 2

A=36

B=36

C=108

Explanation:

A =B

2A+C=180

C is greater than A

2A+(A+72) =180

SIMPLIFY

3A +72=180

-72 ON BOTH SIDES

3A=108

DIVIDE BY 3

A=36

SO

B=36

36 TIMES 2 IS 72

180-72=108

SO

C=108

hope this helps