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Question
In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x + y =
Options
45°
60°
75°
90°
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Solution
90°
We are given the following figure
∠ACD = ∠ABD (Angle in the same segment are equal)
⇒ ∠ACD = y
Consider the ΔACM in which
`angleACM + x + 90° = 180°`
` y + x + 90° = 180°`
`x + y = 90°`
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