Question

Circle Z is shown. Line segments Z T, Z U, and Z V are radii of the circle. Line segment U X goes through point X and is a diameter. Line segment W Y goes from one side to the opposite side and intersects line segment U X at point S. Line segment W X is a secant. Angle X W X is 42 degrees, angle W S Y is 100 degrees, and angle T Z U is 79 degrees.
Complete the statements about circle Z.

A central angle, such as angle
of circle Z, is an angle whose vertex is
and whose sides are radii of the circle.

Angle
is not a central angle of circle Z.

The degree measure of an arc is
the degree measure of the central angle that intercepts it.

The measure of is
degrees.

Answer 1

A central angle, such as angle T Z U of circle Z, is an angle whose vertex is Z and whose sides are radii of the circle.

Angle W S Y is not a central angle of circle Z.

The degree measure of an arc is equal to the degree measure of the central angle that intercepts it.

The measure of arc T U is 79 degrees.