Q13. - Geometry

Question

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

Step-by-Step Solution

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 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" style="max-width: none; vertical-align: -4px;" $BD$ which are $\angle ABD$ and $\angle BDC$ so these are the required adjacent angles.