Question

find the measure of angle x,
given a || b.

x = ?°

Explanation:

Step1: Use the property of supplementary angles

Since \(149^{\circ}\) and the adjacent angle to it on line \(b\) are supplementary. The adjacent angle \(=180^{\circ}- 149^{\circ}=31^{\circ}\)

Step2: Use the property of alternate - interior angles

When \(a\parallel b\), alternate - interior angles are equal. So \(x = 31^{\circ}\)

Answer:

\(31\)