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Exterior Angle of a Triangle = Sum of Opposite Internal Angles

In the Fig; w...

Question

In the Fig; we have $∠ A B C = ∠ A C B, ∠ 3 = ∠ 4$ . Then:

∠ 3 = ∠ 1

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∠ 3 = ∠ 2

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∠ 1 = ∠ 2

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∠ 2 = ∠ 4

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Solution

The correct option is B $∠ 1 = ∠ 2$
Given, $∠ A B C = ∠ A C B$ , $∠ 3 = ∠ 4$
Now,
$∠ A B C = ∠ A C B$
$∠ 1 + ∠ 4 = ∠ 2 + ∠ 3$
But, $∠ 3 = ∠ 4$ (Given)
Thus, $∠ 1 = ∠ 2$

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