Question

Examine circle C, with inscribed angle ∠EQD, central angle ∠ECD, and intercept ED⌢. Central angle ECD is labeled with a measure of 104∘. What is m∠EQD, in degrees? Enter your answer as a number, rounded to the nearest tenth, if necessary, like this: 42.5

Answer 1

Answer: The answer is 52.

Explanation:

Answer 2

∠EQD = 72°

Explanation:

From the circle it can be seen that the angle ∠EQD lies on the circumference of the circle. A circumference of a circle is known to be any point on the circle. Also we have central angle ∠ECD of 104°

In circle geometry, there is a theorem that states; Angle at the center of a circle is twice the angle at the circumference. Applying this theorem to the given question we can say, ∠ECD = 2∠EQD

Substituting the given value;

104° = 2∠EQD

Dividing both sides by 2

104/2 = 2∠EQD/2

∠EQD = 104/2

∠EQD = 72°