In the given figure, if =50^ and =40^ , then is equal to: - Vidyadip

Question

In the given figure, if $\angle\text{ABC}=50^\circ$ and $\angle\text{BDC}=40^\circ,$ then $\angle\text{BCA}$ is equal to:

✓

Answer

90º
Solution:

$\angle\text{BDC}=\angle\text{BAC}=40^\circ$
In triangle ABC,
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$ (angles of a triangle)
$50^\circ+40^\circ+\angle\text{C}=180^\circ$
$\angle\text{C}=90^\circ$

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