Question

HELP HELP HELP!!!

How many degrees is arc ZY?

How many degrees is angle YXZ?

Line XZ is a diameter of the circle. How many degrees is arc XYZ?

How many degrees is arc XY?

(Picture is attached below. Thank you)

Answer 1

Part 1

By the inscribed angle theorem, arc ZY measures 76 degrees.

Part 2

Since angles inscribed in the same arc are congruent, angle YXZ measures 38 degrees.

Part 3

Since diameters form semicircles and the arc of a semicircle measures 180 degrees, arc XYZ measures 180 degrees.

Part 4

Subtracting arc ZY from arc XYZ, we get 104 degrees.