Question

Given the figure below, determine the measures of the four lettered angles. Explain how you found each angle measure and name the relationship(s) you used to do so.

Answer 1

<a=113, <b=67, <c=126, <d=54

Explanation:

<a= 180-67=113 degrees. Why? Angles on a straight line add up to 180

<b=67 degrees Why? Because it is an alternate interior angle with 67degrees and alternate interior angles are equal

<d = 54 degrees Why? Because it is an alternate interior angle with 54 degrees and alternate interior angles are equal

<c=180-54=126 degrees Why? Because it is a co-interior angle with <d which is 54 degrees and co-interior angles add up to 180 degrees

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