In - ABC If - B - C and - A -80- then - C -A- 40-B- 50-C- 60-D- 70-

The correct option is B 50^∘ Let ∠ B = ∠ C = x^∘ x + x + 80^∘ = 180^∘......(sum of angles of a Δ,) 2x = 100 x = 50^∘ ...

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Byju's Answer

Standard VI

Mathematics

Angle Sum Property of Triangle

In Δ ABC If ∠...

Question

In $Δ A B C$ If $∠ B = ∠ C$ and $∠ A = 80^{\circ},$ then $∠ C =$ ___.

$40^{\circ}$

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$50^{\circ}$

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$60^{\circ}$

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$70^{\circ}$

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Solution

The correct option is B
$50^{\circ}$

Let $∠ B = ∠ C = x^{\circ}$

$x + x + 80^{\circ} = 180^{\circ}$ ......(sum of angles of a $Δ$ ,)

$2 x = 100$

$x = 50^{\circ}$

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In ΔABC If ∠B=∠C and ∠A=80∘, then ∠C= ___.

The correct option is B 50∘ Let ∠B=∠C=x∘ x+x+80∘=180∘......(sum of angles of a Δ,) 2x=100 x=50∘

In $Δ A B C$ If $∠ B = ∠ C$ and $∠ A = 80^{\circ},$ then $∠ C =$ ___.

The correct option is B
$50^{\circ}$

Let $∠ B = ∠ C = x^{\circ}$

$x + x + 80^{\circ} = 180^{\circ}$ ......(sum of angles of a $Δ$ ,)

$2 x = 100$

$x = 50^{\circ}$