Question

Use the image to complete the equation below

Answer 1

Given:

A figure in which a transversal line intersect the two parallel lines.

To find:

The missing value for the equation $m\angle \_+m\angle BPD=180^\circ$

Solution:

In the given figure, the two parallel lines are line ED and line AB, and CD is the transversal line.

Angle BPC and angle BPD lie on a straight line CD. So,

$m\angle BPC+m\angle BPD=180^\circ$          (Supplementary angles)

Angle APD and angle BPD lie on a straight line AB. So,

$m\angle APD+m\angle BPD=180^\circ$          (Supplementary angles)

Therefore, the required complete equations are $m\angle BPC+m\angle BPD=180^\circ$ and $m\angle APD+m\angle BPD=180^\circ$.