Question

question 6 of 10
what is the measure of (widehat{jk})?

Explanation:

Step1: Recall circle - arc measure properties

The sum of the measures of arcs around a circle is 360°.

Step2: Identify known arc measures

We know that two of the central - angles are 90° and one is 55°. The arc measure is equal to the measure of the central angle that subtends it. Let the measure of arc $\widehat{JR}$ be $x$.

Step3: Set up an equation

$x + 90^{\circ}+90^{\circ}+55^{\circ}=360^{\circ}$.

Step4: Solve the equation for $x$

$x=360^{\circ}-(90^{\circ}+90^{\circ}+55^{\circ})$.
$x = 360^{\circ}-235^{\circ}$.
$x = 125^{\circ}$.

Answer:

A. 125°