Question

In the given figure, if TP and TQ are tangents to a circle with centre O, so that ∠POQ = 110°, then ∠PTQ is (a) 110° (b) 90° (c) 80° (d) 70°

Answer 1

Answer:

answer is d)70°

Step-by-step explanation:

given that angle POQ=110°

angle PTQ=180°-110°

=70°

Answer 2

The measure of the angle PTQ is 70°

option (d)

Step-by-step explanation:

It is given that ∠POQ = 110°

TP and TQ are tangents to a circle with centre O

since , The tangent at any point of the circle is perpendicular to the radius  through the point of contact

$\angle OPT = 90^\circ$

$\angle OQT = 90^\circ$

In a quadrilateral

$\angle PTQ + \angle POQ + \angle OQT + \angle OPT = 360^\circ$

$\angle PTQ + 110 +90+90 = 360\\\\\angle PTQ = 360 - 290\\\\\angle PTQ = 70^\circ$

hence , The measure of the angle PTQ is 70°

option (d)

#Learn more:

If TP and TQ are two tangents tp a circle with centre O so that <POQ =110 then <PTQ is equal to

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