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2 years ago

In the figure below, BD and EC are diameters of circle P. What is the arc measure of ADE in degrees? IMAGE BELOW

Mathematics

1 answer:

Pani-rosa [81]2 years ago

8 0

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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