# If the angles A, B and C of Δ ABC satisfy the relation B – A = C – B, then find the measure of ∠B.

Given,

In ABC,

B - A = C - B

B + B = A + C

2B = A + C (i)

Now,

A + B + C = 180°

B = 180 - (A + C) (ii)

Using (i) in (ii), we get

B = 180 - 2B

3B = 180°

B = 60°

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Lines and Angles43 mins
Quiz | Lines and Angles40 mins
Quiz | Angle Sum Property of Triangle40 mins
NCERT | Angle Sum Property44 mins
Lines and Angles45 mins
Matter and Its Classification34 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Know About Transversal and Parallel lines42 mins
Champ Quiz | Triangle Inequality27 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses