Question

If the angle A B and C of a triangle ABC satisfy the relation B-A =C-B then find the angles B​

Answer 1

Answer:

Answer:

The measure of angle b is 60°

Step-by-step explanation:

We are given a triangle ABC whose angles are a ,b and c

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

So, a+b+c=180^{\circ}a+b+c=180∘  ---1

We are given a relation : b-a=c-b

So, b-a-c+b=0

2b-a-c=0  ---2

Add 1 and 2

a+b+c+2b-a-c=180+0a+b+c+2b−a−c=180+0

3b=1803b=180

b=60^{\circ}b=60∘

Hence the measure of angle b is 60°

Step-by-step explanation:

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Answer 2

Answer:

Sum of the angles of a triangle = 180

A + B + C = 180 (1)

Given,

B - A = C -B

2B = C+A (2)

so,

2B+ B= 180

3B= 180

or

B = 60 .

Thank you.