Question

In a triangle ABC, angleA – angleB = 15°, angleB – angleC = 30°. Find the measure of each angle of the triangle.

Please help with the steps and explaination.​

Answer 1

Step-by-step explanation:

Sum of angles of a angl = 180 1) A + B + C = 180

2) A - B = 15

3) B - C = 30

3b) C = B - 30

Add LHS and RHS of 2) and 3) 5) A = 45 + C

4) A - C = 45

Substitute 3b) and 5) in 1)

(45 + C) + B + (B - 30) = 180

45 + (B - 30) + 2B - 30 = 180 3B - 15 = 180

B - 5 = 60

B = 65deg .

A = 80degre * epsilon . C = 35 degrees.