Concept explainers
(a)
To Find: The measure of
(a)
Answer to Problem 25WE
Explanation of Solution
Given information:
In the given figure,
Calculation:
Let’s name the vertices as A, B, C, D, E.
Since, in
Since, the sides DE and AB are parallel so interior angles are supplementary.
Sum of angles in triangle ABC ,
Substituting
Since, in triangle CDE adjacent sides are equal, therefore angle opposite to these sides are also equal, that is,
Also, sum of angles in triangle is CDE is equal to
So,
Line AD is a straight line so,
Therefore, the measure of
(b)
To Find: The measure of angle
(b)
Answer to Problem 25WE
Explanation of Solution
Given information:
In the given figure,
Calculation;
Let’s name the vertices as A, B, C, D, E.
Since, in triangle ABC adjacent sides are equal therefore angle opposite to these sides are also equal, that is,
Since, the sides DE and AB are parallel, so interior angles are supplementary.
Sum of angles in triangle ABC is
Substitute
Since, in triangle CDE adjacent sides are equal, therefore angle opposite to these sides are also equal, that is,
Also, sum of angles in triangle is CDE is equal to
Line AD is a straight line so,
Therefore, the measure of
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