Mark ( ) against the correct answer.In if =65^ and =85^ then = ? - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer.In $\triangle\text{ABC}$ if $\angle\text{A}=65^\circ$ and $\angle\text{C}=85^\circ$ then $\angle\text{B}={}?$

A
$25^\circ$
✓
$30^\circ$
C
$35^\circ$
D
$40^\circ$

✓

Answer

Correct option: B.

$30^\circ$

In $\triangle\text{ABC}$
$\angle\text{A}=65^\circ,\angle\text{C}=85^\circ$
But $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ ($Angles of a triangle$)$
$\Rightarrow65^\circ+\angle\text{B}+85^\circ=180^\circ$
$\Rightarrow150^\circ+\angle\text{B}=180^\circ$
$\Rightarrow\angle\text{B}=180^\circ-150^\circ=30^\circ$

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