Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 2

x

Explanation:

Step1: Use the property of same - side exterior and interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of an exterior angle and its corresponding interior angle is \(180^{\circ}\).
Let the angle adjacent to \(162^{\circ}\) be \(y\). Then \(y + 162^{\circ}=180^{\circ}\), so \(y = 180^{\circ}- 162^{\circ}=18^{\circ}\).

Step2: Use the property of alternate interior angles

Since \(m\parallel n\), \(x=y\) (alternate interior angles are equal).

Answer:

\(18\)