Question

in the figure if AB = CD and angle AOB =90 find angle COD

Answer 1

Angle COD = 90°

Step-by-step explanation:

The image of the question is attached below.

Given data:

AB = CD and ∠AOB = 90°

O is the center of circle.

OA, OB, OC and OD are radius of the circle.

Therefore, OA = OB = OC = OD

In ΔAOB and ΔCOD,

AB = AC (given)

OA = OC (Radius)

OB = OD (Radius)

∴ ΔAOB ≅ ΔCOD by SAS congruence rule.

By CPCT,

∠AOB =∠COD

∠COD = 90°  (Since ∠AOB = 90°)

Hence m∠COD = 90°.

To learn more...

1. In the figure, if AB=CD and ∠AOB=90° find ∠COD

https://brainly.in/question/4824784

2. In the given figure if AOB is a line then find the measure of angle BOC angle COD and angle DOC.

https://brainly.in/question/6041690