Question

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

Answer 1

∠B =60°

Step-by-step explanation:

• Given that

        ∠B-∠A=∠C -∠B

        ∠B+∠B=∠A+∠C

        Means

        2∠B=∠A+∠C      ...1)

• In ΔABC from triangle angle property

        ∠A+∠B+∠C =180°    ...2)

• From equation 1) and equation 2)

        ∠A+∠C +∠B=180°

        2∠B +∠B=180°

        3∠B =180°

        So

        ∠B =60°