Question

In the figure, AB | CD and EF || DQ, PDC = 34° and FEB= 74º. Determine PDQ, AED and DEF. Give reasons to support your answer.​

Answer 1

Answer:

hey mate,  here is your answer

Step-by-step explanation:

( note: in your  FEB  should  be 78 °)

Hey Here Is Your Answer! ! ! !

Angle CDP = angle AED ( Corresponding angle)

SO angle AED = 34 -(i)

Now,

Angle AED + Angle DEF + Angle FEB = 180 ( angles on straight line )

34 + Angle DEF + 78 = 180 ( Angle AED = 34 is proved above & Angle FEB = 78 given)

Angle DEF + 112 = 180

Angle DEF = 180-112

Angle DEF = 68

So Angle DEF = 68

Angle DEF = Angle PDQ ( Corresponding angle)

So Angle PDQ = 68

I HOPE ITS HELPFULL FOR YOU.

or one more answer is here both are correct

Angle AED =34° (Corresponding) Angle DEF = 68° (Linear pair or                                straight angle) Angle PDQ = 68° ( C0rresponding) .

note this is short answer

hope u have understood both the answers..

thank you