suppose in a circle chord AB and CD are equal. If angle OBA equal to 55 degree. then find the measure of angle COD

Question

Answer

As the chord form two triangle if we join AB and CD to o . Then in triangle AOBAo=Bo hence  Ang. OAB =OBA=>Ang.OAB = 55.=>Ang.AOB = 180-(55+55)=>70Hence Ang. COD = 70 ( ver. opp. ang.)That's all.

Answer

Angle COD will also equal to 55 degree as it is given that AB =CD and we know that the equal chords subtends equal angle on centre

Answer

Angle OBA:
Given that angle OBA is equal to 55 degrees.

Angle COD:
To find the measure of angle COD, we can use the property of a cyclic quadrilateral. In a circle, opposite angles of a quadrilateral inscribed in the circle are supplementary. Therefore, angle COD is supplementary to angle OBA.

Since angle OBA is given as 55 degrees, angle COD is 180 degrees minus 55 degrees.

Therefore, angle COD = 180 - 55 = 125 degrees.

Explanation:
In a circle, a chord is a line segment that connects two points on the circle. Let's consider a circle with a chord AB and another chord CD, where AB = CD.

Cyclic Quadrilateral:
When a quadrilateral is inscribed in a circle, it is called a cyclic quadrilateral. In a cyclic quadrilateral, the opposite angles are supplementary, meaning their measures add up to 180 degrees.

In the given scenario, chord AB and chord CD are equal. Let's assume the center of the circle as point O. The chord AB intersects the circle at points A and B, while the chord CD intersects the circle at points C and D.

Key Points:
1. Chord AB = Chord CD
2. Assume center of the circle as point O

Angle OBA:
The angle OBA is the angle formed between the radius OB and the chord AB. In this case, angle OBA is given as 55 degrees.

Key Point:
- Angle OBA = 55 degrees

Angle COD:
Since the opposite angles of a cyclic quadrilateral are supplementary, angle COD is supplementary to angle OBA.

Key Point:
- Angle COD is supplementary to angle OBA

To find the measure of angle COD, we subtract the measure of angle OBA from 180 degrees.

Key Point:
- Angle COD = 180 - Angle OBA

Substituting the value of angle OBA as 55 degrees, we can calculate angle COD as follows:
- Angle COD = 180 - 55 = 125 degrees

Therefore, the measure of angle COD is 125 degrees.

Answer

No this,is the wrong answer

Answer

areyyy it's correct. ......I'm sure

Answer

COD will also be equal to 55 degree because.......equal chords substend equal angles at the centre

Answer

70 degree. ....is it ryt

Answer

the answer is 55 degree if O is the centre

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