Question

1 In the given figure, AB || CD, P and R are the points on AB and CD respectively. If Q is a point
in between AB and CD, then the value of x is?
(1) 30°
(3) 60°
(2) 50°
(4) 90

Answer 1

Step-by-step explanation:

In given figure : AB // CD

And the value of angle's are given also..

Construction : Draw MN // AB

Now. - PQ is transverse of AB // MN

So. - /_APQ + /_PQM =180. (By :- Co interior angle..)

And. 100 +/_PQM=180

/_PQM= 80.

Now. MN // CD

And. /_MQR=/_QRD

/_MQR =30. (BY :_ Alternate angle)

So. /_PQR+/_MQR =/_PQR

THERFORE:- /_PQR=110

We have given the value of /_PQR=2X+10

SO.. 2X+10=110

HENCE.. X=50.

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Answer 2

Answer:

50°

Step-by-step explanation:

the value of x is equal as 50°