If the measure of arc XY plus the measure of arc YZX equals 360°, and the
arcs do not overlap, then the arcs form a _
A. square
B. polygon
C. circle
D. parallelogram

Respuesta :

Answer:

The arcs form a circle ⇒ answer C

Step-by-step explanation:

* Lets explain some facts in the circle

- The chord in a circle is a segment whose endpoints lie on the circle

- Any chord of a circle intersects it into 2 arcs

- The minor arc which its measure lies between 0° and 180°

-The major arc which its measure lies between 180° and 360°

- The sum of the measures of the minor arc and the major arc is equal

  to the measure of the circle

- The measure of the circle is 360°

* Lets solve the problem

∵ The measure of arc XY + the measure of arc YZX = 360°

∵ The arcs do not overlap

- That means the endpoints of the arcs are X and y

∵ The measure of the circle is 180°

The arcs form a circle