Concept explainers
To check: if two line segments are perpendicular to each other
Answer to Problem 22WE
Yes, it can be concluded
Explanation of Solution
Given information:
A diagram representing section of line segments with given interior
Formula used:
1) Two angles become congruent when they are equal to one another.
2) Two angles are complimentary to each other when their sum is equal to 900
3) Two line segments are perpendicular to each other when their included angle is 900.
Calculation:
Consider the figure given below.
Based on the angles shown in the figure, it can be expressed as,
Now, given that the angles
This equation can be rewritten to obtain the value of
Also, the segment
Using this relation and the fact that
Thus from (2) and (3),the relation between angles 2 and 3 is given by,
It can be observed from the figure that, the sum of the angles
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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