112k views
3 votes
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

User Lahori
by
8.7k points

2 Answers

3 votes

Answer:circle

Explanation:

im lookin it on a question rn

User Ryan Gates
by
7.8k points
4 votes

Answer:

The arcs form a circle ⇒ answer C

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

User ZWang
by
7.5k points