Question

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

Explanation:

Step1: Find the adjacent - angle

The adjacent - angle of \(170^{\circ}\) is \(180^{\circ}-170^{\circ}=10^{\circ}\) (using the property that adjacent angles on a straight line sum to \(180^{\circ}\)).

Step2: Use the property of parallel lines

Since \(m\parallel n\), the angle \(x\) and the \(10^{\circ}\) angle (the adjacent - angle of \(170^{\circ}\)) are alternate interior angles. Alternate interior angles are equal when two parallel lines are cut by a transversal. So \(x = 10\).

Answer:

\(10\)