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A circle touches all the four sides of a quad. ABCD. Prove that the angles subtended at the centre of the circle by the opposite sides are supplementry.

A circle touches all the four sides of a quad. ABCD. Prove that the angles subtended at the centre of the circle by the opposite sides are supplementry.

Grade:12th Pass

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

First of all draw the figure and you will find by using basic mathematics that sum of opposite angles is 180 degrees hence these are supplementary

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