Question

Prove that the line joining the mid point of two equal chord of a circle subtend equal angle with the chord

Answer 1

Answer:

Step-by-step explanation:

Here is the answer

Answer 2

HEY MATE HERE IS YOUR ANSWER!!!

● GIVEN :- AB and CD are two equal chords of circle with centre O and radius r.

E and F are the midpoint of chords AB and CD.

● TO PROVE :- Angle AEF = Angle CFE
Angle BEF = Angle DFE

● CONSTRUCTION :- Join OE and OF

● PROOF :- E and F are the midpoints of AB and CD respectively.

therefore OE is perpendicular to AB and OF perpendicular to OF

Angle OEF=Angle OFE

90- Angle OEF = 90 - Angle OFE

AND 90 + Angle OEF = 90 + Angle OFE

therefore, Angle AEF = Angle CFE

Angle BEF = Angle DFE

HOPE IT HELPS YOU!!!