Respuesta :

a. Angle BAC is a central angle.

b. Arc BEC is a major arc.

c. Arc BC is a minor arc.

d. m(BEC) = 260°

e. m(BC) = 100°

What is a Major Arc?

An arc that has a measure that is greater than 180 degrees or is greater than a semicircle (half a circle) is referred to as a major arc.

What is a Minor Arc?

An arc that has a measure that is less than 180 degrees or is not up to a semicircle (half a circle) is referred to as a minor arc.

What is a Central Angle?

A central angle can be described as an angle with a vertex at the center of a circle and has two radii of the circle at sides.

a. Angle BAC is a central angle.

b. Arc BEC is a major arc.

c. Arc BC is a minor arc.

d. m(BEC) = 360 - 100 [central angle theorem]

m(BEC) = 260°

e. m(BC) = angle BAC = 100° [central angle theorem]

m(BC) = 100°

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