Question

In a triangle ABC, ∠A - ∠B = 30 and ∠B - ∠C = 42. Find angle A.

Answer 1

Answer:

We know that sum of internal angles of a triangle equals to 360 degree

Then A+B+C=360... . (1)

Given A-B=30... (2)

And B-C=42... . (3)

by .....(1) A+B=360-C

we already know in photo A=72-C

72-C+B=360-C

72+B=360-C+C. (+c & -c get cancel)

B=360-72

B=288............(4)

From eq (2) A-B=30

SO A-288=30

A=30+288

A=310^