Question

In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

(a) 70° (b) 110° (c) 55° (d) 13​

Answer 1

Answer:

since, AB=BC

angle A = angle C

let angle A = x

so, angle C is also equal to x

angle A + angle B + angle C = 180 degree

2x + 70 = 180 degree

x = (180-70)/2

x = 55 degree

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Answer 2

In triangle ABC, angle A will be 55°. (Option C)

Given:

AB=BC

Angle B= 70°

To find:

Value of angle A

Solution:

Let us find the angle by following a simple process-

Since AB=BC, angle A= angle C. (Angles corresponding to equal sides are equal)

We know that the sum of all angles of a triangle is 180°.

So, angle A + angle B + angle C= 180°

As angle A= angle C, we have

angle A + 70° + angle A= 180°

2×(angle A)= 110°

Angle A= 55°

Therefore, in triangle ABC, angle A will be 55°.