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Need help with number 21 please thank you so much!!

Need help with number 21 please thank you so much!!-example-1

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Angle UVW is bisected by ray VZ, so angle UVZ is congruent to angle ZVW. Angle UVZ=81°, so angle ZVW=81°. Add them together, and you find angle UVW=162°, and because it is more than 90°, angle UVW is obtuse.
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