Question

if the angle a,b and c of triangle ABC satisfy the relation b-a=c-b, then find the measure of angle b

Answer 1

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Answer 2

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, $a+b+c=180^{\circ}$  ---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

$a+b+c+2b-a-c=180+0$

$3b=180$

$b=60^{\circ}$

Hence the measure of angle b is 60°