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Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

In the figure, two lines intersect at a point. If $w equals 136$ , what is the value of $z$ ?

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Explanation

Choice D is correct. In the figure shown, the angles with measures $w °$ and $z °$ are vertical angles. Since vertical angles are congruent, $w = z$ . Therefore, if $w equals 136$ , the value of $z$ is $136$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the measure, in degrees, of an angle that's supplementary, not congruent, to the angle with measure $w °$ .

Choice C is incorrect and may result from conceptual or calculation errors.