Question

$AB$ is the diameter of the circle with centre $O$ and $P$ is any point on the circle such that $AP=BP$. Find the measure of $\angle A$ and $\angle POA$.

Answer 1

Draw a circle of known radius.

Mark the center "O" and diameter "AB".

Mark a point "P" on circle such that "PA=PB".

Given,

$PA=PB$

$\Rightarrow \angle POA=\angle POB$

$\therefore \angle POA={90}^{\circ }$

When we measure the $\angle A$ we get,

$\angle A={55}^{\circ }$

$\angle P={35}^{\circ }$