Interior and Exterior Angles of Triangle

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In the figure above, if , then

Review: Interior and Exterior Angles of Triangle


Explanation

In this question, the fact that the two vertical lines are both perpendicular to a common line means they are parallel to each other. That means that the angle just "under" y is equal to x, and since it is supplementary to that angle, and that angle is 40, . Moreover, since z is the third angle in a triangle with angles of 90 and 40 degrees, . Therefore, .

The correct answer is (D).


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