To find: the values of x and y for a given parallelogram.
Answer to Problem 22WE
The value of x is
The value of y is
Explanation of Solution
Given information:
A diagram representing a parallelogram with its
Formula used:
1) Property of alternate interior angles being equal when two parallel lines cut by transversal.
2) Sum of Angles on a straight line is 1800
Calculation:
Consider the figure given below.
From the figure, it can be observed that,
Now, since the diagonals bisect each other, the sides can be related as,
Also,
Substituting the value of
Now, using the property of alternate interior angles,
Substituting the value of x in the above equation, the value of y can be calculated as,
Chapter 5 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Fundamentals of Statistics (5th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Introductory Statistics
Statistics for Business and Economics (13th Edition)
- 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