The sum of the interior angles of aquadrilateral is 360 degreesFill in th e missing Subtraction property of equalitystatements andA quadrilateral with opposite anglescongruent is a parallelogramreasons toSubstitution property of equalitycomplete thefollowing proofangles with equal measures are congruentGivenSimplify (combine like terms)Given: mZY = 49, mLZ = 131,mZW = 49Prove: WXYZ is a parallelogramYstatementreason1. m

Answered: statement reason 1. m

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statement reason 1. m

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

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Question

The sum of the interior angles of a
quadrilateral is 360 degrees
Fill in th e missing Subtraction property of equality
statements and
A quadrilateral with opposite angles
congruent is a parallelogram
reasons to
Substitution property of equality
complete the
following proof
angles with equal measures are congruent
Given
Simplify (combine like terms)
Given: mZY = 49, mLZ = 131,
mZW = 49
Prove: WXYZ is a parallelogram
Y
statement
reason
1. m<Y= 49, m<Z = 131, m<W = 49
1.
2. m<y + m<z + m<w + m<x = 360
2.
3.
3. 49 + 131 + 49 + m<x = 360
4.
4. 229 + m<x = 360
5.
5. m< x = 131
6.
6. <X <Z and <W <Y
7. WXYZ is a parallelogram
7.

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