Question

In the figure, angle A=angle C.Also angle B=120 degrees and BC=4 cm. a)AB= ? b)angle A= ?​

Answer 1

Answer:

As

∠A= ∠C(given)

So, AB=BC(Isosceles triangle)

a) As AB=BC

Therefore, AB=4cm

b) ∠A= ∠C=(180-120)/2

=60/2

=30°

Hope it is clear...

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Answer 2

Concept:

In the given triangle, Sides opposite to equal angles are equal. also, sum of all angles of a triangle is 180 degrees.

Given:

In the triangle ABC,

BC= 4cm

∠B= 120°

∠A = ∠C

To find:

1. AB

2. ∠A

Solution:

We know that sides opposite to equal angles are equal.

So, ∠A = ∠C

This means that, AB = BC

Given that BC= 4cm

Therefore, AB= 4cm.

Sum of all angles of a triangle is 180°

So,

∠A + ∠B + ∠C = 180°

Given that ∠B= 120° and ∠A = ∠C

2∠A = 60°

∠A = 30°

Therefore, ∠A = 30°

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