Question

In the given figure, M is the centre of the circle. Chords AB and CD are perpendicular to each other. 

If ∠MAD = x and ∠BAC = y , Prove that : x = y

Answer 1

In the figure, M is the centre of the circle.

Chords AB and CD are perpendicular to each other at L.

∠MAD = x and ∠BAC = y

we have, ∠ABD =90° - y  and ∠ABD = 90° - x  [proved]

∴  90° - x 90° - y

⇒    x = y