Question

16 mark for review the measure of angle aob in a circle with center o is 85°. what is the measure of the associated minor arc ab, in degrees?

Explanation:

Step1: Recall central angle - arc relationship

The measure of a minor arc is equal to the measure of its central angle. Here, $\angle AOB$ is a central angle (since $O$ is the center) subtended by arc $AB$.

Step2: Determine arc measure

Given $m\angle AOB = 85^\circ$, so the measure of minor arc $AB$ is equal to the measure of $\angle AOB$. Thus, $m\overset{\frown}{AB}=85^\circ$.

Answer:

85