In the given circle, angle DAB = 35 degrees. Find the value of x (angle DCB).

1. Identify the given information:

• Inscribed angle DAB = 35 degrees.
• Angle x (DCB) is to be found.

2. Recognize the cyclic quadrilateral:

• Points A, B, C, and D lie on the circle, forming a cyclic quadrilateral.

3. Recall the property of cyclic quadrilaterals:

• Opposite angles of a cyclic quadrilateral are supplementary (add up to 180 degrees).

4. Apply the property to find angle x:

• Angle DAB and angle DCB are opposite angles.
• Therefore, angle DAB + angle DCB = 180 degrees.
• 35 degrees + x = 180 degrees.
• x = 180 degrees - 35 degrees.
• x = 145 degrees.

Ответ: 145°