8) Find the values of x and y.

Solution:

• The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
• For the arc subtending 33 degrees at the circumference, the angle at the center is x. So, x = 2 * 33.
• The angle y subtends the same arc as the 33-degree angle. Therefore, y = 33 degrees.

Answer: x = 66, y = 33