Which of the following arcs are congruent in the circle below?

D) Arc wx and arc yz is the correct answer because both arcs are equal to 27

Option D is correct.

Step-by-step explanation:

Arcs are said to be equal if it subtends equal angles at the center

here we can see that  arcs WX and ZY subtends equal angle and its measure is 27 degrees.

therefore option D is correct answer

Since we are not given the angles subtended by WY and XZ in the center

so we cannot say for option A

Likewise we cannot say  for rest of the option.

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answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,