Question

Draw a circle with radius $4cm$. Draw triangle $ABC$ in which $\angle A={60}^o,\angle B={50}^o$ and $A,B,C$ are points on the circle.

Answer 1

(1) Draw a circle with centre $O$ and having radius $4cm$
(2) To make the three points $A,B,C$ in the circle, join $A$ to the centre of the circle $O$.
(3) If $m\angle ABC$ is to be ${50}^o,m\angle AOC$ should be ${100}^o$.
(4) If $m\angle BAC$ is to be ${60}^o$, $m\angle BOC$ should be ${120}^o$.
(5) Join the points $B$ and $C$ such that $m\angle AOC={100}^o$ and $m\angle BOC={120}^o$
Thus, $△ABC$ is the required triangle.