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Math  /  Geometry

QuestionWXYZW X Y Z is a parallelogram. Name an angle congruent to
Select one: a. ∠XWY\angle X W Y b. ∠WZY\angle W Z Y c. ∠XWZ\angle X W Z d. ∠ZWY\angle Z W Y

Studdy Solution

STEP 1

1. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
2. In a parallelogram, opposite angles are congruent.

STEP 2

1. Identify the given angle in the parallelogram.
2. Use properties of parallelograms to find the congruent angle.

STEP 3

Identify the given angle in the parallelogram. We are given the angle ∠XWY \angle X W Y .

STEP 4

Use the properties of parallelograms to find the congruent angle. In a parallelogram, opposite angles are congruent. Therefore, the angle opposite to ∠XWY \angle X W Y is ∠YZW \angle Y Z W .
The angle congruent to ∠XWY \angle X W Y is:
∠YZW \boxed{\angle Y Z W}

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