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. plz give this answer by own if you can . ​

Answer 1

Answer:

The measure of angle b is 60°

Step-by-step explanation:

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

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