Question

A circle is divided into three arcs of measures x 2x and 3x what’s the value of x

Answer 1

60°

Explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

`[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree`

Hence, the arc measurement x is 60°