to draw a pair of tangents to a circle which are inclined to each other at an angle of 100o - Maths -

Question

to draw a pair of tangents to a circle which are inclined to
each other at an angle of 100o it is required to draw
tangents at end points of those two radii of the circle, the angle
between which should be??

Lalit Mehra · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/2316145/2012_02_21_11_54_02/1792676%20png">
PA and PB are tangents drawn from an external point P to the
circle
âˆ OAP = âˆ OBP = 90Â°
(Radius is perpendicular to the tangent at point of contact)
In quadrilateral OAPB,
âˆ APB + âˆ OAD +
âˆ AOD + âˆ OBP =
360Â°
âˆ´ 100Â° + 90Â° +
âˆ AOB + 90Â° = 360Â°
â‡’ 280Â° + âˆ AOB =
360Â°
â‡’ âˆ AOB = 360Â°
â€“ 280Â° = 80Â°
Thus, the angle between the two radius, OA and OB is
80Â°

to draw a pair of tangents to a circle which are inclined to each other at an angle of 100o it is required to draw tangents at end points of those two radii of the circle, the angle between which should be??

to draw a pair of tangents to a circle which are inclined to each other at an angle of 100^oit is required to draw tangents at end points of those two radii of the circle, the angle between which should be??