Question

find the measure of ∠adc.

Explanation:

Step1: Identify angle - addition principle

The measure of $\angle ADC$ is the sum of $\angle ADB$ and $\angle BDC$.

Step2: Add the given angles

$\angle ADB = 33^{\circ}$ and $\angle BDC=45^{\circ}$, so $\angle ADC=33^{\circ}+ 45^{\circ}$.
$33 + 45=78$

Answer:

$78^{\circ}$