Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points
E and D to point F to form chords E F and D F. Arc E D is 68 degrees. The measure of arc ED is 68°. What is the measure of angle EFD? 34° 68° 112° 132°
2 answers:
Answer:
Option (1). 34°
Step-by-step explanation:
From the figure attached, CE and CD are the radii of the circle C.
Central angle CED formed by the intercepted arc DE = 68°
Since measure of an arc = central angle formed by the intercepted arc
Therefore, m∠CED = 68°
Since m∠EFD = [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]
Therefore, m∠EFD =
= 34°
Therefore, Option (1) 34° will be the answer.
You might be interested in
Given:
To find:
The correct equivalent equation.
Solution:
We have,
Taking sin on both sides, we get
Interchanging the sides, we get
Therefore, the correct option is 4.