Question

AB &CD are two equal angle of center of circle show that AB=CD​

Answer 1

SOLUTION___☺

Given: AB and CD are the chords of a circle whose centre is O.

They intersect at P. PO is bisector of angle APD.

Prove: AB=CD

Construction: Draw OR perpendicular AB and OQ perpendi cular CD

Proof: In∆ OPR and ∆OPQ

AngleOPR= AngleOPQ (given)

OP=OP (common)

angleORP= angleOQP (construction)

∆OPR congurent ∆OPQ (AAS axiom)

OR= OQ (C.P.CT)

AB= CD (chords of a circle which are at equidistant from the centre are equal).

Hence, Proved.

【MaRK BRAINLIEST】★