Question

In a triangle ABC, angle A - angle B = 15°, angle B-angle C = 30°. Find the measure of each angle of the triangle


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Answer 1

Answer:

Sum of angles of a triangle= 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)

4) A - C = 45

5) A = 45 + C

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 = 65 degrees.

A = 80 degrees.

C = 35 degrees

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Answer 2

Answer:

I HOPE AFTER THIS YOU CAN FIND OTHER TWO ANGLES...