Question

Use the triangle above to find the measure of angle A.

Answer 1

ANSWER:
∠A=62°
∠B=54°
∠C=64°

Step-by-step explanation:

∠C inside triangle = 180-116= 64°

Three angles in a triangle add up to 180°
So:
(2x+4)+(3x-13)+64=180
2x+3x+4-13+64=180
5x+55=180 |-55 from both sides
5x= 180-55
5x=125 | ÷both sides by 5
x=25


∠A=3x-13
∠A= 3(25)-13
∠A=75-13
∠A=62°

∠B=2x+4
∠B=2(25)+4
∠B=50+4
∠B=54°