Question

in the given figure find the value of x and y where O is the centre of the circle

Answer 1

Answer:

35 degrees

Step-by-step explanation:

In the given figure, we can see that Angle x and Angle y are angles with the same endpoints on our circle.

The central angle measures 70degrees in the given. The measure of the minor arc is the measure of central angle. Thus, the arc's measure is 70degrees.

By definition, Angle x and angle y are called inscribed angle. The measure of an inscribed angle is one half of the measure of the arc it encloses. Thus 70 degrees divided by 2 = 35 degrees.