Question

there are two horizontal lines parallel to each other. and a third line is intersecting them as shown below. if angle p is 95° then calculate angle q.

Explanation:

Step1: Recall angle - relationship

When two parallel lines are intersected by a transversal, corresponding angles are equal and adjacent angles on a straight - line are supplementary. Angle P and the angle adjacent to angle Q are corresponding angles, so they are equal.

Step2: Use supplementary - angle property

Since the adjacent angle to angle Q is 95° and the sum of adjacent angles on a straight - line is 180°. Let angle Q be \(x\). Then \(x + 95^{\circ}=180^{\circ}\).

Step3: Solve for angle Q

\(x=180^{\circ}-95^{\circ}=85^{\circ}\)

Answer:

85