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If TP and TQ are two tangents to a circle with centre O so that angle POQ = 110° then angle PTQ is equal to
  • a)
    600
  • b)
    800
  • c)
    700
  • d)
    900
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If TP and TQ are two tangents to a circle with centre O so that angle ...
We know that the sum of angle made by two tangents joined by an exterior point and the angle made at the centre of the circle is equal to 180 degrees
So, Angle POQ + Angle PTQ = 180
110 + Angle PTQ = 180
Angle PTQ = 180- 110 = 70 degrees
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Most Upvoted Answer
If TP and TQ are two tangents to a circle with centre O so that angle ...
We know that the sum of angle made by two tangents joined by an exterior point and the angle made at the centre of the circle is equal to 180 degrees
So, Angle POQ + Angle PTQ = 180
110 + Angle PTQ = 180
Angle PTQ = 180- 110 = 70 degrees
Free Test
Community Answer
If TP and TQ are two tangents to a circle with centre O so that angle ...
•••it's too easy

look angle POQ is getting divide according to the draw it means
angle POT and angle TOQ= 1/2 of angle POQ

angle POT and angle TOQ= 110/2

angle POT and angle TOQ = 55

now let's see in ∆ TPO
we know that OPT = 90 ( radius is perpendicular to the tangent in a circle)

and also we have angle POT = 55

so in ∆ TPO

angle POT + angle OPT + angle PTO = 180

55 + 90 + angle PTO = 180

angle PTO = 180 - 145

angle PTO = 35

now we know angle PTQ = 2× angle PTO

angle PTQ = 2× 35

angle PTQ = 70 ans •••••
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If TP and TQ are two tangents to a circle with centre O so that angle POQ = 110° then angle PTQ is equal to​a)600b)800c)700d)900Correct answer is option 'C'. Can you explain this answer?
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