Question

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

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), consecutive interior angles are supplementary. That is, the sum of the two angles is \(180^{\circ}\).
Let the angle of \(167^{\circ}\) and \(x^{\circ}\) be consecutive interior angles. So, we have the equation \(167 + x=180\).

Step2: Solve the equation for \(x\)

Subtract \(167\) from both sides of the equation \(167 + x=180\).
\(x=180 - 167\)
\(x = 13\)

Answer:

\(13\)