Question

In △ABC if AB=AC and ∠A=30° find the value of ∠B and ∠C.​

Answer 1

Answer:

Since one angle is given, (a = 30°), b = c as it is an isosceles triangle. In an isosceles triangle, two angles are equal. Since b = c, let us take its measure as x. Therefore the measure of angles b and c is 75°.

Answer 2

Answer:

Given,

angle A = 30°

AB = AC

Step-by-step explanation:

Here, AB = AC

Therefore, ABC is an isosceles triangle and hence angle B = angle C

=> We know that in sum of all angles of a triangle is equal to 180° .

=> angle A + angle B + angle C = 180°

=> 30° + angle B + angle C = 180°

=> 30° + 2 (angle B) = 180°

=> 2 (angle B) = 180° - 30°

=> 2 (angle B) = 150°

=> angle B = 150°/2

=> angle B = 75°

Therefore,

Angle B = 75°

Angle C = 75°