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find the measure of the arc. 110° a. 110° b. 55° c. 70° d. 250°

Question

find the measure of the arc. 110° a. 110° b. 55° c. 70° d. 250°

Explanation:

Step1: Recall circle - angle property

The sum of the central angles of a circle is 360°.

Step2: Set up an equation

Let the measure of the unknown arc be $x$. We know that one central - angle is 110°. So, $x + 110^{\circ}=360^{\circ}$.

Step3: Solve for $x$

$x=360^{\circ}-110^{\circ}=250^{\circ}$

Answer:

d. 250°