Math, asked by dharniarchna, 3 months ago

in a triangle abc angle A-angle B= 15° angle B - agle C=30° find the measure of each angle of the trianGle​

Answers

Answered by sachinkumar1812
1

Answer:

80, 65, 35

Step-by-step explanation:

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.

I hope this will be helpful for you dear...

Good Luck :)

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