OG详解-OG3 数学1 Q4

Choice D is correct. The sum of consecutive interior angles between two parallel  lines and on the same side of the transversalis 180  degrees. Since it’sgiven 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 isincorrect. This is the value of the given angle measure. Choice C is incorrect. This is twice the value of the given angle measure.