Chapter 9, Problem 12CR

To determine

To complete: the blank in the given statement.

Answer to Problem 12CR

The measure of arc $AB={120}^0$

Explanation of Solution

Given information:

The given statement is “If the measure of arc $AB=$$\underset{\_}{}$ ”.$m(AC)=120$

The given figure is as follows:

  

Explanation:

From the given diagram the radius of the circle $BX$ is perpendicular to arc $ABC$ .

So, the radius is perpendicular bisector of the chord.

Thus, the measure of arc lengths

  $m(AB)=m(AC)=120$

Hence, $m(AB)={120}^0$ .