Set 1: Polynomial Functions
Explanation
Note: Figure not drawn to scale. In the figure shown, line m is parallel to line n. What is the value of x ?
Choose the correct answer.
26
13
52
154
Detailed 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 B is incorrect. This is half of the given angle measure. Choice A 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.
Key Steps:
The correct answer is 154
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