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A city is planning to start construction of a new street. The new street will be named Elm street and is represented by the red dashed line in the diagram. Oak street, Maple street, and Cherry street are
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Apr 8, 2017
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A city is planning to start construction of a new street. The new street will be named Elm street and is represented by the red dashed line in the diagram. Oak street, Maple street, and Cherry street are parallel to each other. If Elm street is constructed so that it is parallel to Oak, Maple, and Cherry, what will be the measure of angle 2? A. 130 degrees B. 120 degrees C. 60 degrees D. 50 degrees
Mathematics
high-school
Pavel Gurecki
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Consecutive Interior Angles add up to 180°
Hence,
Angle 2 is consective interior angle to the angle 50
°
Thus,
Angle 2= 180-50 = 130
°
See the attachment for complete workout.
I hope it will help
Tim Dierks
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Apr 9, 2017
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Tim Dierks
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the picture in the attached figure
Since the lines are parallel, we know that angle
must be equal to
°
Reason--------> by corresponding angles
Therefore,
the answer is the option
A.
degrees
Alternative Method
Since the lines are parallel, we know that angle
must be supplementary to
°.
Therefore,
the measure of angle
will be
we know that angle
must be supplementary to angle
Therefore,
the answer is the option
A.
degrees
.
Thomas Wagner
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Apr 13, 2017
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Thomas Wagner
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