Question

parallel lines s and t are cut by a transversal, r, as shown. what is the measure of angle 1? 20° 42° 138° 160°

Explanation:

Step1: Use corresponding - angles property

Since the lines are parallel, \(7x - 2=6x + 18\).

Step2: Solve for \(x\)

\(7x-6x=18 + 2\), so \(x = 20\).

Step3: Find angle 1

Angle 1 and \((7x - 2)^{\circ}\) are supplementary. Substitute \(x = 20\) into \(7x-2\), we get \(7\times20-2=138^{\circ}\), then angle 1 is \(180 - 138=42^{\circ}\).

Answer:

\(42^{\circ}\)