Question

given $m \parallel n$, find the value of $x$.
(there is a diagram showing two parallel lines m and n cut by a transversal, with one angle labeled 113° and the angle adjacent to it (on the same side of the transversal and between the parallel lines) labeled $x$°.)
answer attempt 1 out of 2

Explanation:

Step1: Identify supplementary angles

The 113° angle and its adjacent angle on the straight line are supplementary.
$180^\circ - 113^\circ = 67^\circ$

Step2: Use corresponding angles property

Since $m \parallel n$, the adjacent angle (67°) equals $x$ (corresponding angles).
$x = 67$

Answer:

67