CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

In the given figure, if AB || CD || EF, PQ || RS, RQD=25 and CQP=60, then ARS is equal to

A
85
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
135
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
120
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
110
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 120
We have PQ || RS. Produce PQ to M.
CQP=MQD [Vertically opp. S]
60=1+25
1=35

We have PQ || RS. Produce PQ to M.

CQP=MQD [Vertically opp. angles]
60=1+25
1=35

AMQ=1+RQD=60 [alternate angles]

RMQ+AMQ=180
RMQ=18060=120

Since PQ || RS,
RMQ=ARS=120 [alternate angles]

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image