Question

Given that AB and CD are two equal chords of a circle. If chord CD subtends an angle of 50° at the center , write the measure of angle subtended by chord AB at the center of the circle. Give reason, why?
please help me fast....​

Answer 1

Answer:

To Prove: AB=CD

Proof:- In △AOB & △DOC

OA=OD[radius],∠AOB=∠DOC(given)

OB=OC(radius)

∴△AOB≅△COD[SAS congr]

∴AB=CD [By cpct]

Hence proved.