Question

In the given figure, if chords AB and CD of the circle intersect each other at right angles then x+y=?​

Answer 1

Answer:

Answer is 90 use exterior angle property in PDB

Angle D is x only

Because Angle subtended by an arc at any part of circle is equal.

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Answer 2

x + y = 90°

Step-by-step explanation:

if chords AB and CD of the circle intersect each other at right angles then,

∴ ∠CAO = ∠ODB = x [angles in same segment ] ---- (i)

 Now, in right angled ΔDOB ,

∠ODB + ∠DOB + ∠OBD = 180°  (angle sum property)

we get

⇒ x + 90° + y =180° (using equation  i)

⇒ x + y = 90°

hence ,

x + y = 90°

#Learn more:

Chords Ab and cd of a circle intersect each other at p such that AP =CD show that Ab =CD

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