Question

Prove that the angle b/w two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.

Answer 1

join both the tangentz to the centre

since angle b/n tangent and radius is 90 so 2 × 90=180

again in the quad. sum of angles is 360 so 360-180 =180so the other two angles are supplementary hence proved please like and follow do u want to know what is explementary its angle sum =360