Question

finding angles in transversal problems (level 1)
score: 3/8
question
given m\parallel n, find the value of x.
answer

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the alternate interior angles are equal. Also, the angle of \(x^{\circ}\) and \(58^{\circ}\) are related as \(x + 58=180\) (because they are same - side interior angles, and for parallel lines \(m\parallel n\), same - side interior angles are supplementary).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(122\)