in the fig.1,∆PQR=100°where P,Q and R are points on circle with centre O.find ∆oPR.
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angle opr will be 10°
firstly take a point on the circle any where in major sector and join it with. p and r and name the point as s
now since quad. pqrs becomes cyclic therefore angle psr will be 80°
and in this we can find angle por=160°
and since por is isosceles triangle
therefore angle rpo will be 10°
firstly take a point on the circle any where in major sector and join it with. p and r and name the point as s
now since quad. pqrs becomes cyclic therefore angle psr will be 80°
and in this we can find angle por=160°
and since por is isosceles triangle
therefore angle rpo will be 10°
sacchu2:
bt its not correct plzz see one more time nd plzz send mee right ans.ans is 10°
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29
Hello mate =_=
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Solution:
P, Q and R are the points on a circle with centre O where ∠PQR=100°
Construction: S is a point on the major arc PR. Join P and S, R and S to form a cyclic quadrilateral.
∠PQR+∠PSR=180°
(Sum of opposite angles of a cyclic quadrilateral is equal to 180°)
⇒100°+∠PSR=180°
⇒∠PSR=180°−100°=80°
Also, ∠POR=2∠PSR
(Angle subtended by an arc at the centre is double the angle subtended by it at the circumference of the circle.)
⇒∠POR=2×80°=160°
In ∆POR, we have
∠POR+∠ORP+∠OPR=180°
But, we have ∠ORP=∠OPR (Angles opposite to the equal sides in a triangle are equal.)
⇒160°+∠OPR+∠OPR=180°
⇒2∠OPR=180°−160°=20°
⇒∠OPR=20/2=10°
hope, this will help you.
Thank you______❤
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