In Fig. 16.203, if chords AB and CD of the circle intersect each other at right angles, then x + y =
Given: AB and CD are two chords of the circle.
∠APC = 90°
∠ACP = ∠PBD = y (Angles on the same segment)
In ACP,
∠ACP + ∠APC + ∠PAC = 180°
y + 90° + y = 180°
x + y = 90°