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  • To draw a pair of tangents to a circle which are inclined to each other at an Angle of 60(degree)it is required to draw tangents at end points of those two radii of The circle the angle between them should be A135(degre) B90(degre) C60(degree) D120(degr)

To draw a pair of tangents to a circle which are inclined to each other at an Angle of $60^{\circ}$, it is required to draw tangents at the end points of those two radii of The circle, the angle between them should be
(A) $135^{\circ}$
(B) $90^{\circ}$
(C) $60^{\circ}$
(D) $120^{\circ}$

Answers (1)

Answer(D) 120°
Solution
According to question:-

Given: $\angle Q P R=60^{\circ}$
Let $\angle Q O R=x$
As we know the angle between the tangent and radius of a circle is 90

$
\angle P Q O=\angle P R O=90^{\circ}
$
We know that $\angle P Q O+\angle P R O+\angle Q P R+\angle Q O R=360^{\circ}$
[ $\because$. the sum of interior angles of a quadrilateral is $360^{\circ}$ ]

$
\begin{aligned}
& 90^{\circ}+90^{\circ}+x+60^{\circ}=360^{\circ} \\
& 240+x=360^{\circ} \\
& x=120^{\circ}
\end{aligned}
$
 

Posted by

infoexpert27

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