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Example Questions
Example Question #4 : Opposite And Corresponding Angles
In the figure above, . If the measure of
and
, what is the measure of
?
Possible Answers:
Correct answer:
Explanation:
Since we have two parallel lines, we know that since they are opposite angle.
We also know that are supplementary because they are consecutive interior angles. Thus, we know that
is also supplementary to
.
We can then set up the following equation to solve for .
Thus, and
.
Now, notice that because they are corresponding angles. Thus,
.
Example Question #121 : Angle Geometry
Find the value of .
Assume the two horizontal lines are parallel.
Possible Answers:
Correct answer:
Explanation:
Start by noticing that the two angles with the values of and
are supplementary.
Thus, we can write the following equation and solve for .
Since and
are vertical angles, they must also have the same value.
Thus,
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