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I need this ASAP!! Please Help!!

In the diagram, XY is congruent to YZ and the measurement for the arc XQZ is 199 degrees. Find the measurement of the arc YZ in degrees. Show work if can please.

I need this ASAP!! Please Help!! In the diagram, XY is congruent to YZ and the measurement-example-1

1 Answer

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since XY is congruent to YZ, that means they are equal to each other.

a circle is 360°. we already know XQZ is 199, so we just need to subtract it from 360

360-199 = 161

so arc XYZ is 161. again, since XY=YZ, we know that half of 161 is equal to XY and YZ

161/2= 80.5

YZ= 80.5°
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