8

Set 1: Polynomial Functions (Advanced)

Explanation

Answer: B

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.

A.

13

B.

154

✓ Correct
C.

26

D.

52

Detailed Explanation

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

Key Steps:

The correct answer is 154

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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