Q27 of 100 Page 17

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°

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