contestada

Triangle XYZ is equilateral with vertices located on circle W.
Which measurements are correct? Select two options.
mXY = 60°
myz = 120°
mzx = 180°
m ZXWZ = 60°
mZYWZ = 120°

Respuesta :

calculista

Answer:

[tex]m\ arc\ YZ=120^o[/tex]

[tex]m\angle YWZ=120^0[/tex]

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles. The measure of each interior angle is equal to 60 degrees.

step 1

Find the measure of arc YZ

Remember that

The inscribed angle is half that of the arc comprising

so

In this problem

[tex]60^o=\frac{1}{2}[m\ arc\ YZ][/tex]

[tex]m\ arc\ YZ=(60^o)(2)=120^o[/tex]

[tex]m\ arc\ YZ=m\ arc\ XZ=m\ arc\ XY[/tex]

step 2

Find the measure of angle YWZ

we know that

[tex]m\angle YWZ=m\ arc YZ[/tex] -----> by central angle

therefore

[tex]m\angle YWZ=120^0[/tex]

see the attached figure to better understand the problem

Ver imagen calculista

Step-by-step explanation:

myz = 120° & mZYWZ = 120°

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