Clockwise from top left, the 3 lines are labeled l, m, and n. Line l intersects both line m and

Question

Clockwise from top left, the 3 lines are labeled l, m, and n.
Line l intersects both line m and line n.
At the intersection of line l and line m, 1 angle is labeled clockwise from top left as follows:
- Top right: x/li>
At the intersection of line l and line n, 1 angle is labeled clockwise from top left as follows:
- Top left: 26/li>
A note indies the figure is not drawn to scale.

In the figure shown, line $m$ is parallel to line $n$ . What is the value of $x$ ?

Accepted Answer

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.

Question clockw