Since WZ and XR are diameters, they divide circle C into four quarters. Angle ZWX is an angle in one of these quarters.
We know that the sum of angles in a quarter of a circle is 90 degrees (since the sum of angles in a full circle is 360 degrees). We also know that angle ZWY is a right angle (since it is part of a diameter).
Therefore, angle ZWX is 90 degrees minus the measure of angle ZWY. Angle ZWY is 128 degrees (half of 256 degrees, since it is part of a diameter). Subtracting 128 from 90 gives us 62 degrees.
So the measure of angle ZWX is 62 degrees, which means the answer is c. 58°.
WZ and XR are diameters of circle C. The figure is not drawn to scale.
Image: www(dot)connexus(dot)com/content/media/941080-7222013-25617-PM-626702193(dot)gif
What is the measure of ZWX?
a. 204°
b. 278°
c. 58°
d. 302°
1 answer