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Use parallelogram to find

Use parallelogram to find-example-1

1 Answer

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Take into account that the measure of the angle XYZ is the same that angle ZWY:

m∠XYZ = M∠ZWY = 105°

next, consider the sum of the interior angles of the parallelogram is 360°, moreover, angle WZY and angle WXY are congruent.

Then, you have:

2m∠XYZ + 2m∠WZY = 360°

solve the previous equation for m∠WZY:

2m∠WZY = 360 - 2m∠XYZ

2m∠WZY = 360 - 2(105)

2m∠WZY = 360 - 210

2m∠WZY = 150

m∠WZY = 150/2

m∠WZY = 75

Hence, the measure of the angle WZY is 75°

User Ahmet Arslan
by
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