Question

In triangle ABC if AB=AC and<A = 50° then find the measure of <B.​

Answer 1

Answer:

IN ∆ ABC

We know that,

angle A + B+ C = 180°

GIVEN,

AB=AC

A= 50°

SO,

ABC + BCA+ CAB = 180°. ( Equation - 1)

ABC + BCA + 50 = 180°. [ A = 50°]

ABC+ BCA + 50 = 180°

ABC + BCA = 180 - 5

ABC + BCA = 130°. [Equation - 2 ]

NOW,

Put value of equation 2 in equation 1

ABC + BCA + CAB = 180°

130 + 50 = 180°. [ As per eq 1 ]

180° = 180°

Hence , it proved that all sides of ∆ are equal

So,

A = B = C

A = 50°

B = 50°