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given $m \\parallel n$, find the value of $x$. (there is a diagram show…

Question

given $m \parallel n$, find the value of $x$.
(there is a diagram showing two parallel lines m and n, and a transversal intersecting line m, forming an angle of $125^\circ$ and an angle of $x^\circ$ at the intersection.)
answer attempt 1 out of 2
$x = \square$

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\).
\(x + 125^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(125^{\circ}\) from both sides of the equation.
\(x=180^{\circ}- 125^{\circ}\)

Answer:

\(55\)