Answer:
3).
4).
Explanation:
We have been given two circles, we are asked to find the value of x for each circle.
3) We know that measure of inscribed angle is half the measure of intercepted arc. Since the measure of angle ACB is x degrees, so measure of arc AB will be 2x degrees.
The measure of arc ACB is
. We know that circumference of circle is 360 degrees. We can set an equation as:





Therefore, the value of x is 105.
4) We know that the measure of two inscribed angles corresponding to same arc is equal.
Since angle WXZ and WYZ corresponds to arc WZ, so we can set an equation as:
Therefore, value of x is 21.