Question

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

Two acute vertical angles.

Short answer

The two acute vertical angles are $\angle BFC$ andwidth="51">∠EFD.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Definition of acute angles.

The acute angles are the angles having measure less than $90°$.

Step 3. Write relation between the angles BFC and EFD.

From the given diagram it can be noticed that the angles $BFC$and $EFD$are having measure less thanwidth="27">90°, therefore the angles $BFC$and width="35">EFDare the acute angles.

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

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

The angles$BFC$ and $EFD$are acute angles as well as they are vertically opposite angles.

Therefore, the name of the two acute vertical angles is $\angle BFC$and $\angle EFD$.