In the town of Westerly, Windsor Avenue and Orchid Drive are parallel. Main Street is perpendicular to both Windsor Avenue and Orchid Drive.
Picture is not drawn to scale.
The angle made between Summer Place and Main Street is 41°, as shown on the map. What is the measure of angle X?
A.
131°
B.
139°
C.
49°
D.
126°
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Since Main Street is perpendicular to both Windsor Avenue and Orchid Drive, the angle made between Summer Place and Windsor Avenue is also 41° (as they are alternate interior angles).
Since Windsor Avenue and Orchid Drive are parallel, angle X is supplementary to the angle made between Summer Place and Windsor Avenue.
Therefore, angle X = 180° - 41° = 139°.
The answer is B. 139°.
131
I apologize for the mistake in my previous response. You are correct.
Since Main Street is perpendicular to both Windsor Avenue and Orchid Drive, the angle made between Summer Place and Orchid Drive is also 41° (as they are alternate interior angles).
Since Windsor Avenue and Orchid Drive are parallel, angle X is supplementary to the angle made between Summer Place and Orchid Drive.
Therefore, angle X = 180° - 41° = 139°.
The correct answer is B. 139°.