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

In the given figure, if TP and TQ are the two tangents to a circle with centre O so that POQ=110, PTQ is equal to

Open in App
Solution

OP and OQ are radii of the circle to the tangents TP and TQ respectively.
Since, the line drawn from the centre of the circle to the tangent is perpendicular to the tangent.
OP TP and OQ TQ.
OPT=OQT=90
In quadrilateral POQT,
Sum of all interior angles = 360
PTQ+OPT+POQ+OQT=360PTQ+90+110+90=360PTQ=70
PTQ is equal to 70.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Quadrilateral formed by Centre, any two Points on the Circle and Point of Intersection of Tangents
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon