Two equal chords of a circle intersect inside it. Show that the line joining their point of intersection to the centre forms equal angles with both chords.
Explanation:
Draw \(OM\) perpendicular \(WX\) & \(ON\) perpendicular \(YZ\).
In \(∆OMP\) & \(∆ONP\),
\(\angle M= \angle N=\)\(^°\)
\(OP=\) []
\(OM=\)
[ ]
Therefore, \(∆OMP≅∆ONP\) ———-[R.H.S]
Hence, \(∠1=∠2\) ———–[]