In a triangle, Angle B is twice as large as Angle A. Angle C is five more than Angle B. What are the angle measurements of Angles A, B, and C?

The angle measurements of the Angles A, B, and C are 35°, 70° and 75° respectively.

Step-by-step explanation:

Sum of all angles in a triangle is = 180°

Therefore, A + B + C = 180° ... (1)

From the question, the statement shows that;

B = 2A = => A = B/2 ... (2)

C = 5 + B ... (3)

Substitute for A and C in equation (1)

(B/2) + B + (5+B) = 180°

B/2 + B + 5 + B = 180°

B/2 + 2B + 5 = 180°

Multiply through by 2

B + 4B + 10 = 360°

5B + 10 = 360°

5B = 360 - 10

5B = 350

B = 70°

Since B is 70°, substitute for B in both equation (2) and (3) to get A and C respectively.

A = B/2 = => 70/2 = 35°

C = 5 + B = => 5 + 70 = 75°

To proof A + B + C = 180°

35° + 70° + 75° = 180°

180° = 180°