Question

the ratio of the measures of angle A to angle B is 8:5. What is the measure of angle C?

Answer 1

let x be common in ratio of the angle be 8x and 5x.
•°• angle A + angle B +angleC =180°
8x+5x+ angleC=180°
13x + angleC =180°
angleC=180°/13
angle C =180/13

Answer 2

Answer: 50

Given:

Let us take ab = ac

Angle B = Angle C

According to the triangle, sum of the angle = 180

Let’s us take angle A = 8x

       Angle B = 5x

Angle A + Angle B + Angle C = 180

8x + 5x + 5x = 180

18x = 180

X = 10

Therefore, angle C = 5x = 5 x 10 = 50