Question

If m<9=130°, what is m<4?

Answer 1

From the diagram provided, the two lines that are left and right of each other are parallel and are cut by a transversal. That means,

$\begin{gathered} \angle9=\angle5\text{ (corresponding angles are equal)} \\ \text{Similarly,} \\ \angle8=\angle4\text{ (corresponding angles are equal)} \end{gathered}$

If angle 9 equals 130, then angle 8 equals,

$\begin{gathered} 130+\angle8=180\text{ (angles on a straight line sum up to 180)} \\ \angle8=180-130 \\ \angle8=50 \end{gathered}$

If angle 8 equals angle 4, then angle 4 equals 50 degrees