Question

In the diagram, $\angle AFB$is a right angle. Name the figures described.

Two obtuse vertical angles.

Short answer

The two obtuse vertical angles are $\angle BFE$and $\angle CFD$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Definition of obtuse angles.

The obtuse angles are the angles having measure more than $90°$.

Step 3. Write relation between the angles BFE and CFD.

From the given diagram it can be noticed that the angles $BFE$and $CFD$are having measure more than $90°$, therefore the angles width="34">BFEand $CFD$are the obtuse angles.

From the given diagram it can also be noticed that the angles$BFE$ and $CFD$are vertically opposite angles.

Step 4. Write the name of the two obtuse vertical angles.

The angles$BFE$ and $CFD$are obtuse angles as well as they are vertically opposite angles.

Therefore, the name of the two obtuse vertical angles is $\angle BFE$and $\angle CFD$.