Question

Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.

Answer 1

Answer:I agree that 46 is correct

Step-by-step explanation:

Answer 2

Answer:

Second option.

Step-by-step explanation:

The angle $(3x+17)\°$ and the angle $(4x-8)\°$ are alternate exterior angles, then they are congruent. So we can can find "x":

$3x+17=4x-8\\17+8=4x-3x\\x=25$

Then, the angle  $(4x-8)\°$ is:

 $(4x-8)\°=(4(25)-8)\°=92\°$

You can observe that the angle identified in the figure attached as "3" and the angle 46° are Alternate interior angles, then they are congruent.

Since the sum of the measures of the angles that measure 92°, 46° and the angle "2" is 180°, we can find the measure of the angle "2" by solving this expression:

$92\°+46\°+\angle 2=180\°\\\\\angle 2=180\°-92\°-46\°\\\\\angle 2=42\°$