Question

what is the value of m?

Explanation:

Step1: Identify the angle type

The straight line forms a straight angle, which is \(180^\circ\). The angle \(m\) and the \(45^\circ\) angle are adjacent and form a linear pair, so their sum is \(180^\circ\).

Step2: Solve for \(m\)

We know that \(m + 45^\circ= 180^\circ\). To find \(m\), we subtract \(45^\circ\) from \(180^\circ\).
\(m = 180^\circ - 45^\circ\)
\(m = 135^\circ\)

Answer:

\(135\)