Question

Triangle ABC is an isosceles triangle with a b is equal to AC if angle b is equal to 40 degree what are the measures of angle A and angle c

Answer 1

Answer:

angle A= 100° and angle C= 40°

Step-by-step explanation:

AB=AC

As, Angles opposite to the equal sides of an isosceles triangle are also equal.

Therefore,

angle ABC = angle ACB

angle ABC = 40° = angle ACB

According to triangle sum property,

angle(A) +angle(B) +angle(C) = 180°

A + 40° + 40° = 180°

A + 80° = 180°

A = (180-80)°

A = 100°

Hence, angle C=40° and angle A=100°.