89.7k views
2 votes
Central angle ACD of circle C has a measure of
50 degrees. What is the measure of arc AD?

User Aheuermann
by
8.0k points

1 Answer

1 vote

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°

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°

User Ryan Amaral
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories