Question

if two tangents TP and TQare drawn to a circle with centre O from an external point T ...where angle PTQ is 100 deg .find angle POQ

Answer 1

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$\huge{hey}$



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$\huge{ \mathfrak{here \: is \: answer}}$




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$\bf{given}$



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$\sf{figure \: is \: in \: pic}$


a circle with center o.

Tp and TQ are tangent at point t and p respectively .

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$\angle{ptq} = 100 \degree$




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$\bf{to \: find}$


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$\sf{ \angle{poq}}$




in figure

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$\sf{ \angle{ptq} = 100 \degree}$




op and oq is radius of circle

and radius meet at tangent making angle at 90°.

hence op=oq

hence

op=oq=90°

we know that

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$\angle{ptq} + \angle{tpq} + \angle{tqp} + \angle{poq} = 360 \degree$




hence

90°+90°+100°+angle poq=360°

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$280 \degree + \angle{poq} = 360 \degree$



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$\sf{ \angle{poq} = 360 \degree - 280 \degree}$





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$\bf{hence \angle{poq} = 80 \degree}$




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$\huge \boxed{hope \: it \: helps}$



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$\huge{ \mathbb{THANKS}}$