ZC = 94* and WC = 48*

Question

WZ and XR are Diameters of Circle C.
What is the measure of ZWX.

Answer 1

To find the measure of angle ZWX, we need to consider that angles inscribed in a circle by the same chord are equal. In this case, ZWX is an angle inscribed by the diameter WZ.

Since WC = 48*, this tells us that the radius of Circle C is half of this length, which is 24*. Therefore, the diameter WZ has a length of 48*, and the angles inscribed by this diameter are both 90*.

Therefore, the measure of angle ZWX is equal to half of 90*, which is 45*.

So, the measure of angle ZWX is 45*.