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QUESTION IMAGE

given $m \\parallel n$, find the value of $x$.

Question

given $m \parallel n$, find the value of $x$.

Explanation:

Step1: Identify supplementary angles

The 105° angle and its adjacent angle on the straight line are supplementary.
$180^\circ - 105^\circ = 75^\circ$

Step2: Use corresponding angles property

Since $m \parallel n$, the adjacent angle (75°) equals $x^\circ$ (corresponding angles).
$x = 75$

Answer:

75