Question

Find the vertically opposite angle of $ \angle XVW $ .

Answer 1

Hint: Vertically opposite angles are the angles that are directly opposite to each other. It is very easy to figure out the vertically opposite angles in a figure. We just have to look for a X figure. The angles that face each other and are directly opposite to each other in a X shaped structure are called as vertically opposite angles.

Complete step by step solution:
In the given question, we are required to find all the pairs of vertically opposite angles in the figure given to us. So, to look for vertically opposite angles in the figure given to us, we need to look for X shaped structures as the angles directly opposite to each other in a X shaped structure are the vertically opposite angles. Vertically opposite angles have equal measure. Two pairs of vertically opposite angles are formed whenever two lines intersect each other at an appointment.

So, the vertically opposite angle of $ \angle XVW $ is $ \angle ZVY $ as these angles are facing each other directly in a X shaped structure given in the figure. Hence, these angles also have equal measures.
So, the correct answer is “ $ \angle ZVY $ ”.

Note: Vertically opposite angles have the same measure under any circumstance. The measure of vertically opposite angles is equal irrespective of the orientation of the transversal, which means that the transversal may be parallel or may not be parallel.