In the following, write the correct answer. In if BC = AB and =80… - Vidyadip

MCQ

In the following, write the correct answer.
In $\triangle\text{ABC}$ if $BC = AB$ and $\angle\text{B}=80^{\circ}$ then is equal to:

A
$80^\circ$
B
$40^\circ$
✓
$50^\circ$
D
$100^\circ$

✓

Answer

Correct option: C.

$50^\circ$

In $\triangle\text{ABC}$ we have
$BC = AB$
But $\angle\text{B}=80^{\circ}$
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^{\circ}$
$=\angle\text{A}+80^{\circ}\angle\text{A}=180^{\circ}$
$=2\angle\text{A}=100^{\circ}$
$=\angle\text{A}=100^{\circ}\div2=50^{\circ}$

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