Question

finding angles in transversal problems (level 1)
score: 0/15 penalty: none
question
given ( mparallel n ), find the value of x.
answer attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of adjacent angles

Since the angle of \(162^{\circ}\) and its adjacent angle form a linear - pair (sum to \(180^{\circ}\)). Let the adjacent angle be \(y\), then \(y + 162^{\circ}=180^{\circ}\), so \(y = 180^{\circ}-162^{\circ}=18^{\circ}\).

Step2: Use the property of alternate - interior angles

Because \(m\parallel n\) and \(t\) is a transversal, \(x\) and \(y\) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \(x=y\).

Answer:

\(18\)