In the given circle, angle ABC = 25 degrees. Find the value of x (angle ADC).

1. Identify the given information:

• Inscribed angle ABC = 25 degrees.
• Angle x (ADC) needs to be found.

2. Recognize the cyclic quadrilateral:

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

3. Apply the property of cyclic quadrilaterals:

• Opposite angles of a cyclic quadrilateral are supplementary (sum to 180 degrees).
• Angle ABC and angle ADC are opposite angles.

4. Calculate the value of x:

• Angle ABC + angle ADC = 180 degrees.
• 25 degrees + x = 180 degrees.
• x = 180 degrees - 25 degrees.
• x = 155 degrees.

Ответ: 155°