Question

finding angles in transversal problems (level 1)
score: 4/10
question
given ( mparallel n ), find the value of ( x ).
answer
attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, alternate interior angles are equal. The angle \(x\) and the angle \(118^{\circ}\) are alternate interior angles. But wait, no, actually, we use the property of supplementary angles. The angle adjacent to \(118^{\circ}\) (on the same - side of the transversal) and \(x\) are equal (corresponding angles). The adjacent angle to \(118^{\circ}\) is \(180 - 118\).

$$180-118 = 62$$

Since \(m\parallel n\), \(x\) and the angle calculated above are corresponding angles.

Answer:

\(62\)