Question

Multiple Choice: In the diagram shown, $m\angle 3=72°$. What is $m\angle 4$?

F. $18°$ G. $36°$ H. $108°$ I. $144°$

Short answer

The correct option is option H.

Step-by-step solution

Step 1. Given information.

The measure of angle 3 is $m\angle 3=72°$.

Step 2. Formula used.

Since, sum of the angles forming a linear pair is $180°$.

Step 3. Calculation.

Apply the definition of line angle.

$\begin{array}{c}{72}^{\circ }+m\angle 4={180}^{\circ }\\ m\angle 4={180}^{\circ }-m\angle 3\\ ={180}^{\circ }-{72}^{\circ }\\ ={108}^{\circ }\end{array}$