20) A D mzA = 100 + 5x mzB - 77 - 4y mzC = 106 + 3x mzD - 47 + 6y Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the measures of the opposite angle pairs? A) 95°, 85° B) 105°, 75° 115", 65" D) 125°, 55°

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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20)
D
ht
)
ing
mzA = 100 + 5x
37
mzB = 77 - 4y
ools
mzC = 106 + 3x
mzD = 47 + 6y
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are congruent. Prove that quadrilateral ABCD is
a parallelogram by finding the measures of the opposite angle pairs?
)
A)
95°, 85°
B)
105°, 75°
C)
115°, 65°
D)
125°, 55°
Transcribed Image Text:20) D ht ) ing mzA = 100 + 5x 37 mzB = 77 - 4y ools mzC = 106 + 3x mzD = 47 + 6y Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the measures of the opposite angle pairs? ) A) 95°, 85° B) 105°, 75° C) 115°, 65° D) 125°, 55°
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