MCQ
If two lines intersect such that four vertical angles are equal, then each angle is:
- A$45^\circ $
- B$100^\circ$
- C$180^\circ$
- ✓$90^\circ$
✓
Answer
Correct option: D.
$90^\circ$
Let each vertical angle be $x$
Now the sum of vertical angles is $360^\circ $
$\Rightarrow\text{x}+\text{x}+\text{x}+\text{x}=360^\circ$
$\Rightarrow4\text{x}=360^\circ$
$\Rightarrow\text{x}=\frac{360^\circ}{4}=90^\circ$
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