kyeee2018
kyeee2018 kyeee2018
  • 07-12-2017
  • Mathematics
contestada

What is the measure of XYZ?

What is the measure of XYZ class=

Respuesta :

lilglow21p7oz19
lilglow21p7oz19 lilglow21p7oz19
  • 21-10-2018

It’s 54 you add them both then divided by two so 75+33=108 then divided it by 2 it’s 54

Answer Link
calculista
calculista calculista
  • 02-12-2018

Answer:

The answer is the option B

[tex]54\°[/tex]

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

in this problem

∠XYZ is the interior angle

∠XYZ=[tex]\frac{1}{2}( arc\ XZ+arc\ VW)[/tex]

we have

[tex]arc\ XZ=75\°[/tex]

[tex]arc\ VW=33\°[/tex]

Substitute the values

∠XYZ=[tex]\frac{1}{2}( 75\°+33\°)[/tex]

∠XYZ=[tex]54\°[/tex]

Answer Link

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