Question

calculate the value of m.

Explanation:

Identify parallel lines and transversal

The arrows on the two slanted lines indicate they are parallel.
The line intersecting both is a transversal.

Find the vertical angle

Using the Vertical Angles knowledge point:
The angle vertically opposite to the given \(70^\circ\) angle is also \(70^\circ\).
This interior angle lies between the parallel lines.

Apply parallel line angle relationships

The angle \(m^\circ\) and the vertically opposite \(70^\circ\) angle are alternate interior angles.
Since the lines are parallel, alternate interior angles are equal:

$$m = 70$$

Answer:

Calculate the value of m.
m = <blank>70</blank>