Central angle ACD of circle C has a measure of

50 degrees. What is the measure of arc AD?

Central angle ACD of circle C has a measure of 50 degrees - The measure of arc AD is equal to the central angle it subtends, thus we can say that the arc AD = 50°

Step-by-step explanation:

Step 1

We are given that

Central angle ACD of circle C has a measure of 50 degrees

∴ ∠ ACD = 2∠ ABD

⇒ ∠ ABD = ½ (∠ACD)

∠ ABD ⇒ = ½ * 50° [∠ ACD = 50°]

Step 2

⇒ ∠ ABD = 50°

The inscribed angle ABD is on half the central angle ACD, that is

Step 3

The measure of arc AD is equal to the central angle it subtends, thus we can say that the arc AD = 50°