Question

Name three angles that have vertex $D$. Which angles with vertex $D$ are adjacent angles?

Short answer

The required three angles are $\angle ABD$, $\angle BDC$, and $\angle ADC$ in which$\angle ABD$ and$\angle BDC$ are those angles which are adjacent.

Step-by-step solution

Step 1. Definition of angle.

The formation of an angle is done with the help of ray which are 2 in count and an end point that is common.

Step 2. Identify the angles that are having same vertex D.

For vertex D, only three angles having same vertex are present in given figure which are $\angle ABD$, $\angle BDC$and $\angle ADC$.

Step 3. Determine the adjacent angles.

The angles $\angle ABD$, $\angle BDC$and $\angle ADC$are having same vertex $D$ but only two of them contains the same side width="25">BD which are$\angle ABD$ and $\angle BDC$so these are the required adjacent angles.