Question

In the adjoining figure, line MN║ line PQ, transversal AB cuts line MN and line PQ at points D and E respectively. If mADN= 65o, find the measures of D DEQ, PEB and BEQ.

Answer 1

Answer:

DEQ= 65°

PEB=65°

BEQ=115°

Step-by-step explanation:

ADN= 65o (given)

DEQ= 65° (corresponding angles)

PEB= 65° (vertically opposite angles)

BEQ= BEQ+DEQ= 180° (Linear Pair)

          BEQ=180-DEQ

          BEQ=180-65

          BEQ= 115°

Figure- https://share.sketchpad.app/21/2ef-9b13-f946a6.png