Question

the quadrilateral ABCD is circumscribed to be a circle with centre O . If angle AOB =115 then find angle COD​

Answer 1

Answer:

<COD = 65°

Step-by-step explanation:

As in the given figure ABCD is a quadrilateral circumscribing the circle and we know that, the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

Therefore, <AOB + <COD = 180°

<COD = 180° - 115°

<AOB = 65°

Answer 2

∠COD = 65°  ,  if the quadrilateral ABCD is circumscribed to a circle with centre O. ∠AOB = 115°

Step-by-step explanation:

the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

=> ∠AOB + ∠COD = 180°

given ∠AOB = 115°

=> 115° +  ∠COD = 180°

=> ∠COD = 65°

Learn more:

A quadrilateral is drawn to circumscribe a circle prove that the sum ...

https://brainly.in/question/3171048

Quadrilateral PQRS is inscribed in a circle. If PS = QR, prove that ...

https://brainly.in/question/13730341