In triangle ABC, if BC=AC and ∠B=40∘. Then ∠C is equal to ___ degrees.

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Question

In triangle ABC, if

B C = A C

and

∠ B = 40^{\circ}

. Then

∠ C

is equal to
___ degrees.

Answer:
:
In a triangle, if two sides are equal then it is an isosceles triangle. The angles opposite to the two equal sides are alsoequal.

In Triangle ABC, If BC=AC And ∠B=40∘. Then ∠C Is Equal...

Therefore,

∠ A = ∠ B

Since sum of all the angles in a triangle

= 180^{\circ}

\Rightarrow

∠ A + ∠ B + ∠ C = 180^{\circ}

\Rightarrow

2 \times 40^{\circ} + ∠ C = 180^{\circ}

(

∠ A = ∠ B

)

\Rightarrow

∠ C

= 180^{\circ} - 2 \times 40^{\circ}

\Rightarrow

∠ C

= 100^{\circ}

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