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Geometry and Trigonometry Difficulty: Easy
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In the figure shown, line m is parallel to line n . What is the value of x ?

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Explanation

Choice D is correct. The sum of consecutive interior angles between two parallel lines and on the same side of the transversal is 180 degrees. Since it's given that line m is parallel to line n , it follows that x + 26 = 180 . Subtracting 26 from both sides of this equation yields 154 . Therefore, the value of x is 154 .

Choice A is incorrect. This is half of the given angle measure.

Choice B is incorrect. This is the value of the given angle measure.

Choice C is incorrect. This is twice the value of the given angle measure.