chrissy122998
chrissy122998 chrissy122998
  • 20-10-2017
  • Mathematics
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The measure of arc XZ is 28° what is the measure of XYZ

The measure of arc XZ is 28 what is the measure of XYZ class=

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jimthompson5910 jimthompson5910
  • 20-10-2017
Arc XZ is marked in red (see the image attachment)
Angle XYZ is marked in blue

It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.

measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degrees

Answer: D) 14 degrees

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