a.
To find:two congruent supplementary
a.
Answer to Problem 9CE
Explanation of Solution
Given information:
First find
As sum of angles on a straight line is equal to
Put
So,
Now prove that
Here,
As angles equal in measures are also congruent,
Now prove that
If sum of two angles is
As
Therefore,
b.
To find: two supplementary angles that are not congruent
b.
Answer to Problem 9CE
Explanation of Solution
From the figure, it can be observed that
So,
In part a., it has been proved that
So,
And
From (i) and (ii),
As two angles which are not equal in measure are not congruent,
Also,
So,
(If sum of two angles is
Therefore,
So,
c.
To find:two complementary angles
c.
Answer to Problem 9CE
Explanation of Solution
It has already been proved in explanation of part a. that
Also,
If sum of two angles is
Here,
So,
d.
To find: a straight angle
d.
Answer to Problem 9CE
Explanation of Solution
A straight angle is an angle whose sides lie in opposite direction in the same straight line.
In the given figure,
So,
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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