Question

do this question in detail

Answer 1

Solution:

Inferences from Attachment:

• Both the sides are equal which implies that angles in these sides are also equal.

Proof:

AB = BC

=> ∠ BAC = ∠ BCA

According to Angle Sum Property of Triangle,

∠ ABC + ∠ BAC + ∠ BCA = 180°

We know that, ∠ BAC = ∠ BCA. So we can write,

∠ ABC + ∠ BCA + ∠ BCA = 180°

=> ∠ ABC + 2 ∠ BCA = 180°

We know that, ∠ ABC = 54°

=> 54° + 2 ∠ BCA = 180°

=> 2 ∠ BCA = 180° - 54°

=> 2 ∠ BCA = 126°

=> ∠ BCA = 126° / 2 = 63°.

Hence both the angles are 63° each.

Hope my answer helped !