Question

given ( m parallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x = ) ( ^circ ) submit answer

Explanation:

Step1: Find the adjacent angle to \(162^{\circ}\)

Since the sum of adjacent angles on a straight line is \(180^{\circ}\), the adjacent angle to \(162^{\circ}\) is \(180 - 162=18^{\circ}\).

Step2: Use the property of parallel lines

Because \(m\parallel n\), \(x\) and the \(18^{\circ}\) angle (found in Step 1) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \(x = 18\).

Answer:

\(18\)