The measure of arc AB is 92°. Therefore, option B is the correct answer.
Given that, ∠B = 46°.
We need to find the measure of arc AB.
What is an arc of a circle?
The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
Now, ∠B = ( arc ADB ) ÷ 2
46° = ( arc ADB ) / 2
Multiply both sides by 2
46° × 2 = 2 × ( arc ADB ) / 2
92° = arc ADB
arc AB = arc ADB
arc AB = 92°
The measure of arc AB is 92°. Therefore, option B is the correct answer.
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