In the figure below, BD and EC are diameters of circle P. What is the arc measure of ADE in degrees? IMAGE BELOW
1 answer:
Answer:
The arc measure of ∠ADE is equal to 333 degrees.
Step-by-step explanation:
Please refer to the attached diagram,
Let the unknown angle ∠APE = x
Since BD is the diameter of the circle then
∠APE + ∠DPE + ∠APB = 180°
∠APE + 63° + 90° = 180°
x + 63° + 90° = 180°
Solving for x
x = 180° - 90° - 63°
x = 90° - 63°
x = 27°
Since a circle has 360° then
∠ADE + ∠APE = 360°
∠ADE + x = 360°
∠ADE + 27° = 360°
∠ADE = 360° - 27°
∠ADE = 333°
Therefore, the arc measure of ∠ADE is equal to 333 degrees.
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