## Thinking Mathematically (6th Edition)

Now, let the first angle be$m\measuredangle 4=72{}^\circ$and the second angle be$m\measuredangle 5=52{}^\circ$.It is given that the two lines are parallel and another two non-parallel lines intersects them. Then, $\angle$3 and $\angle$5 are corresponding angles and corresponding angles are equal. Then, compute the measurement of $\angle$3 as shown below. \begin{align} & \measuredangle 3=\measuredangle 5\left( \text{Corresponding}\,\text{Angles} \right) \\ & \measuredangle 3=52{}^\circ \end{align}