CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, PQRS is a rectangle if RPQ=30. Then, the value of (x + y) is:


A

90

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

150

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

180

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

180


The diagonals of a rectangle bisect each other and are equal in size.
OP = OQ = OR = OS
Given, RPQ=OPQ=30
Since, OP = OQ =OPQ=OQP=30
All the angles of a rectangle are 90.
x=90OQP=9030=60
Also, POQ = SOR (as they are Vertically Opposite Angles)
y=POQ
=180(OPQ+OQP)
=18060=120
The required sum is,
x+y=60+120=180


flag
Suggest Corrections
thumbs-up
22
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon