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Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.

In∆ABC, AB=AC...

Question

In $∆ ABC, AB = AC and ∠ B = 50 °$ . Then $∠ C$ is equal to

$40 °$

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$50 °$

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$80 °$

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$130 °$

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Solution

The correct option is B
$50 °$

Explanation of the correct option:
Given: $AB = AC, ∠ B = 50 °$
So, the triangle is an isosceles triangle because the two sides are equal in length.
$Since AB = AC \Rightarrow ∠ B = ∠ C \Rightarrow ∠ C = 50 °$
Therefore (B) is the correct option.

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Name the property where $a, b and c$

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∠ A B C = 50^{\circ}

∠ B E A

ABCD is a quadrilateral in which$ \mathrm{AD}=\mathrm{BC}$ and $ \angle \mathrm{DAB}=\angle \mathrm{CBA}$ .

Prove that $ \left(\mathrm{i}\right)△\mathrm{ABD}\cong △\mathrm{BAC}$

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△ A B C

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∠

60^{\circ}, ∠ A B D = 50^{\circ},

∠

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