Calculate the value of x in the given circle where angle COB is 120 degrees.

1. Identify the given information:

• Central angle COB = 120 degrees.
• The angle x is the inscribed angle subtended by the arc CB.

2. Recall the relationship between central and inscribed angles:

• The measure of an inscribed angle is half the measure of its intercepted arc.
• The measure of a central angle is equal to the measure of its intercepted arc.

3. Determine the measure of the intercepted arc CB:

• Since the central angle COB = 120 degrees, the measure of arc CB is also 120 degrees.

4. Calculate the inscribed angle x:

• The inscribed angle x subtends arc CB. Therefore, x = (1/2) * measure of arc CB.
• x = (1/2) * 120 degrees.
• x = 60 degrees.

Ответ: 60°