3) 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 measuring 151 degrees, the angle at the circumference is x. So, x = 151 / 2.
• For the arc measuring 139 degrees, the angle at the circumference is y. So, y = 139 / 2.

Answer: x = 75.5, y = 69.5