Question

lines ( t _ { 1 } , t _ { 2 } ), and ( t _ { 3 } ) are parallel lines intersected by line ( t _ { 4 } ). what is the measure of ( angle p )

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, the consecutive - interior angles are supplementary. The angle adjacent to \(44^{\circ}\) (let's call it \(x\)) forms a linear pair with \(44^{\circ}\). So \(x + 44^{\circ}=180^{\circ}\), which means \(x = 180^{\circ}-44^{\circ}=136^{\circ}\).

Step2: Use the property of parallel lines

Since \(l_1\parallel l_2\parallel l_3\) and \(l_4\) is the transversal, \(\angle p\) and the angle \(x\) (which we found to be \(136^{\circ}\)) are corresponding angles. Corresponding angles formed by parallel lines and a transversal are equal.

Answer:

\(136^{\circ}\)