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°

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step-by-step explanation:

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