Question

In the diagram,$\angle \mathit{A}\mathit{F}\mathit{B}$ is a right angle. Name the figures described.

Another right angle.

Short answer

The another right angle is $\angle \mathit{A}\mathit{F}\mathit{D}$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

$\angle AFB=90°$

Step 2. Description of step.

From the given diagram it can be noticed that the angles AFB and AFD forms the linear pair as they are lying on the straight line.

Therefore, the sum of the angles AFB andAFD is $180°$.

That implies $\angle AFB+\angle AFD=180°$.

Step 3. Description of step.

Find the value of the angle AFD by using the fact that $\angle AFB+\angle AFD=180°$

$\begin{array}{c}\angle AFB+\angle AFD=180°\\ 90°+\angle AFD=180°\\ \angle AFD=180°-90°\\ \angle AFD=90°\end{array}$

Therefore, the measure of the angle AFD is width="27">90°.

.

Step 4. Write the name of another right angle.

As, the measure of the angle AFD is $90°$, therefore the angle AFD is a right angle.

Therefore, the name of another right angle is $\angle AFD$.