Answer to Question #44206 in Geometry for James

Question

1. Construct a line parallel to line segment AB through point P. For the first step in your construction, you must use the given point Q to draw a line connecting point P to segment AB. Extend your segment beyond both points.
2. Given m<PQB =52 , solve for all angles formed by the parallel lines (segment AB and your newly constructed parallel line) cut by the transversal (the segment containing points P and Q).
3. Identify all pairs of angles (alternate interior, alternate exterior, corresponding, and consecutive interior) by labeling each angle you solved in step 2 with a letter or symbol.