Question

given m || n, find the value of x.
answer attempt 1 out of 3
x =
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Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), alternate - interior angles are equal.
Here, \(x\) and the angle which is supplementary to \(34^{\circ}\) form a pair of alternate - interior angles.
The angle supplementary to \(34^{\circ}\) is \(180 - 34\).

Step2: Calculate the value of \(x\)

Since \(x\) and \(180 - 34\) are alternate - interior angles (because \(m\parallel n\)), we have \(x=180 - 34\).

$$x = 146$$

Answer:

\(146\)