Question

What is the value of x?

What is the measure of angle A?
What is the measure of angle B?
What is the measure of angle C?

Answer 1

1. 2x + 20 + x + 10 + 2x - 5 = 180
5x + 25 = 180
5x = 155
x = 31 degrees

2. A = x + 10
A = 31 + 10
A = 41 degrees

3. B = 2x + 20
B = 62 + 20
B = 82 degrees

4. C = 2x - 5
C = 62 - 5
C = 57 degrees

Answer 2

∠A = 41

∠B = 82

∠C = 57

Explanation:

Sum of all the angles of triangle = 180

x + 10 + 2x -5 + 2x + 20 = 180

x +2x +2x + 10 - 5 +20 = 180 {Combine like terms}

5x + 25 = 180

5x = 180 - 25

5x =155

x = 155/5

x = 31

∠A = x + 10 = 31 + 10 = 41

∠B = 2x +20 = 2*31 + 20 = 62 + 20 = 82

∠C = 2x - 5 = 2*31 - 5 = 62 - 5 = 57