Question

If TP and TQ are two tangents to a circle with centre O so that ∠POQ=130 , then ∠PTQ is equal to​

Answer 1

Answer:

If TP and TQ are two tangents to a circle with centre O so that ∠POQ=110

o

, then ∠PTQ is equal to

share

Share

Answer

Correct option is

B

70

o

Given, ∠POQ=110

∘

We know,

∠OPT=∠OQT=90

∘

(Angle between the tangent and the radial line at the point of intersection of the tangent at the circle)

Now, in quadrilateral POQT

Sum of angles=360

∠OPT+∠OQT+∠PTQ+∠POQ=360

∘

90+90+∠PTQ+110=360

∠PTQ=360−290

∠PTQ=70

∘