Question

segments ac and bd are diameters of circle o. what is the measure of arc adb? 107°, 287°, 253°, 146°

Explanation:

Step1: Recall circle - arc property

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

Step2: Identify the related arc

The arc $\overset{\frown}{ADB}$ and the arc $\overset{\frown}{AB}$ are related. The measure of $\overset{\frown}{AB}=73^{\circ}$.

Step3: Calculate the measure of $\overset{\frown}{ADB}$

$\text{Measure of }\overset{\frown}{ADB}=360^{\circ}-\text{Measure of }\overset{\frown}{AB}$. So, $\text{Measure of }\overset{\frown}{ADB}=360 - 73=287^{\circ}$.

Answer:

$287^{\circ}$