do this question in detail
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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 !
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