Question

In the figure
56°
ray AB | ray CD.
Find the measure of angle PCD and angle CPD
​

Answer 1

Answer:

Given : AB| CD

we have

ABC+CPD= 180° ( Linear pair)

=100° +CPD =180°

=100°-CPD= 80°

Also, BAP= PDC=56°

(Alternate angles

in ∆CPD,we have

CPD+ PDC+ PCD= 180°

[ Angle sum property ]

=80°+56°+PCD =180°

= 360°+ PCD=180°

=360°-PCD

PCD=44°

=CPD= 80°and PCD=44°