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vovikov84 [41]
3 years ago
8

Triangle XYZ is equilateral with vertices located on circle W. Circle W is shown. Line segments W Y, W Z, and W X are radii. Lin

es are drawn to connect the points on the circle to form a triangle. Sides Z X, X Y, and Z Y are congruent. Which measurements are correct? Select two options. mArc X Y = 60° mArc Y Z = 120° mArc Z X = 180° m∠XWZ = 60° m∠YWZ = 120°

Mathematics
2 answers:
Ainat [17]3 years ago
6 0

Answer:

The answers are B & E

Step-by-step explanation:

Elis [28]3 years ago
4 0

Answer:

arc\ YZ=120^o

m\angle YWZ=120^o

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is 60 degrees)

m\angle XYZ=m\angle YZX=m\angle ZXY=60^o

Remember that

The <u><em>inscribed angle</em></u> is half that of the arc it comprises

so

arc\ XY=arc\ YZ=arc\ ZX=2(60^o)=120^o

Remember that

<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

m\angle YWZ=arc\ YZ=120^o ----> by central angle

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