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 cyclic quadrilateral in a circle with centre O. If PSR=130. Find QPR.​​​​​​


A

50

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

40

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

60

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

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

40


Given, PSR=130
We have PSR+PQR=180 [Opposite angles of a cyclic quadrilateral]
130+Q=180
Q=180130=50
Also, PRQ=90 [Angle subtended by diameter on the circle is always 90]
In ΔPRQ,
QPR+PRQ+RQP=180 [Sum of angles of triangle is 180]
QPR+90+50=180
QPR=180140=40


flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Quadrilaterals - Theorem 11
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon