To find: the values of x and y for a given parallelogram.
Answer to Problem 24WE
The value of x is
The value of y is
Explanation of Solution
Given information:
A diagram representing a parallelogram with the measure of sides
Formula used:
By Theorem 5-1, the opposite sides of a parallelogram are in congruence which imply they have the same measure
Calculation:
Consider the figure given below.
Based on Theorem 5-1, the opposite sides can be expressed as,
Based on the above two equations, the values of x and y can be calculated as follows. Adding (1) and (2) gives,
Dividing both sides by 6, the value of x can be obtained as,
Substituting the value of x in (1), y can be obtained as,
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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