Lines, Angles, and Polygons

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 3

From the figure, which one of the following must be true?

y is equal to z
y is less than z
y is less than or equal to z
y is greater than z
y is greater than or equal to z

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Correct Answer: D

Equating the two pairs of vertical angles in the figure yields y = 3x and x = z. Replacing x in first equation with z yields y = 3z. This equation says that y is 3 times as large as z. Hence, y > z. The answer is (D).

Lines, Angles, and Polygons

Question: 3

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Correct Answer: D

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