To prove:
ABCDis aparallelogram.
Explanation of Solution
Given information:
Proof:
It is given that,
If lines are parallel then their alternate interior
By substitution property, we get
Supplementary angles form a straight angle.
Supplementary of congruent angles are congruent.
If both pairs of opposite angles are congruent, a quadrilateral is a parallelogram.
ABCD is a parallelogram.
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning