Question

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

What is the measure of angle 2?
25°
42°
46°
88°

Answer 1

Answer:I agree that 46 is correct

Explanation:

Answer 2

Second option.

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\°`