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oksian1 [2.3K]
4 years ago
5

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

Mathematics
2 answers:
Eduardwww [97]4 years ago
8 0

Answer:I agree that 46 is correct

Step-by-step explanation:

inn [45]4 years ago
6 0

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\°

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