https://file.aiquickdraw.com/mathbot/file/1728600714043zdssc1b9.jpg

This image shows a cyclic quadrilateral inside a circle. Here's what we can observe from the image:

- \( O \) is the center of the circle.
- Triangle \( ADO \) is marked with angle \( \angle ADO = 34^\circ \).
- There are equal markings on segments \( DA \) and \( DB \), indicating that these two segments are equal in length.
- You are likely being asked to find the value of \( x \), which seems to be an unknown angle or variable, possibly \( \angle DBC \).

### Key observations and geometric properties:
1. Since \( A \), \( B \), \( C \), and \( D \) are points on the circle, the shape formed might be a cyclic quadrilateral. This means that opposite angles in the quadrilateral will sum to \( 180^\circ \).
2. Since \( DA = DB \) (based on the equal markings), triangle \( ADB \) is isosceles, and the base angles \( \angle ADB \) and \( \angle ABD \) will be equal.

Would you like a more detailed breakdown of the geometric steps to solve for \( x \)?

Find the value of x in the given cyclic quadrilateral inside the circle, where angle ADO is 34 degrees and DA = DB in triangle ADB.

Solve for the unknown angle x in a cyclic quadrilateral where angle ADO is 34 degrees, DA = DB. This geometry problem covers theorems related to cyclic quadrilaterals and isosceles triangles.

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