Concept explainers
To fill: the blanks with the values of x and
Answer to Problem 27WE
The value of x is
The value of
Explanation of Solution
Given information:
A diagram representing a parallelogram with the measure of
Formula used:
1) The opposite angles of a parallelogram are in congruence which implies they have the same measure.
2) The alternate interior angles of the parallelogram are equal.
Calculation:
Consider the figure given below.
Based on the property in (2), the angles are in the relation,
Now, substituting the values of angles in the above equations, it gets modified as,
Solving the above
Since only positive values are considered, the acceptable value of
Now,
Using (B), the above equation can be rewritten as,
Substituting the value of x in the above equation leads to,
Chapter 5 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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