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°
