MCQ
Find $n ,$ if $\angle\text{A}=11\text{n}-13^\circ$ and $\angle\text{B}=7\text{n}+39^\circ,$ where $A$ and $B$ are vertically opposite angles.
- A$52^\circ$
- ✓$13^\circ$
- C$130^\circ$
- D$14^\circ$
✓
Answer
Correct option: B.
$13^\circ$
$\angle\text{A}=\angle\text{B }(\text{Vertically opp. angles})$
$\Rightarrow 11n - 13 = 7n + 39^\circ $
$\Rightarrow 11n - 7n = 39^\circ + 13^\circ $
$\Rightarrow 4n = 52^\circ $
$\Rightarrow n = 13^\circ $
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