Concept explainers
(a)
To evaluate: The value of
(a)
Answer to Problem 36WE
16°
Explanation of Solution
Given information:
The figure can be drawn as shown below:
Formula used:
The bisector of an
Calculation:
To find the angle by using definition of bisector of an angle:
Take
As
Therefore,
As
The angle bisector divides the angle into two equal parts.
Therefore,
As
Therefore,
As
Therefore,
It is known that;
Also,
Therefore,
Substitute the values;
That is,
Therefore,
Therefore, the value of the angle is
Conclusion:
The value of the angle is
(b)
To calculate: The value of
(b)
Answer to Problem 36WE
25°
Explanation of Solution
Given information:
The figure can be drawn as shown below:
Formula used:
The bisector of an angle property.
Calculation:
Consider that
As
Therefore,
As
Therefore,
As
Therefore,
The equation becomes;
As
Therefore,
It is known that;
Also,
Therefore,
Therefore,
And
That is
The equation becomes;
And the other equation is;
Therefore, the value is
Conclusion:
The value is
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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