Question

In a∆ ABC angleA - B = 15 °and Angle B - C= 30° then find all angle of the triangle

Answer 1

Answer:

∠A= 80°,∠B = 65° , C=35°

Step-by-step explanation:

A-B=15

So, A=15+B ---1

B-C=30

So, C=B-30---2

Angle sum property of triangle : The sum of all angles of triangle is 180° .

So,∠A+∠B+C=180°

15+∠B+∠B+∠B-30=180

3∠B-15=180

3∠B = 195

∠B = 65°

Substitute the value of B in 1 and 2

A=15+B=15+65 = 80°

C=B-30= 65-30=35°

So, ∠A= 80°,∠B = 65° , C=35°