Question

5. In triangle ABC, if angle A- angle B = 60° and angle B -angle C = 30°, then find all the angles of triangle ABC.​

Answer 1

Answer:

A-B=60 ,A=60+B

B-C=30 ,C=30+B

A+B+C=180 (sum of all angle )

60+B+30+B=180

90+2B=180

2B=180-90

2B=90

B=90/2 ,B=45

A-B=60 ,A-45=60

A=60+45 =105

B-C=30

45-C=30

C=45-30

C=15