In the given diagram, angle ADC = 70 degrees. Find the value of x (angle ABC).

1. Identify the given information:

• Inscribed angle ADC = 70 degrees.
• Angle x (ABC) 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 ADC and angle ABC are opposite angles.

4. Calculate the value of x:

• Angle ADC + angle ABC = 180 degrees.
• 70 degrees + x = 180 degrees.
• x = 180 degrees - 70 degrees.
• x = 110 degrees.

Ответ: 110°