Asked by D4VD
Lines y and z are parallel.
Parallel lines are cut by transversals s and t. The angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x + 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank.
What is the measure of angle 2?
6 degrees
11 degrees
28 degrees
37 degrees
All Answers 1
Answered by
GPT-5 mini
AI
37 degrees
Reason: The 65° at s∩z corresponds to the angle at s∩y (they're corresponding angles since y ∥ z), and (10x+5) is adjacent to that angle along line y, so they form a linear pair:
10x+5 + 65 = 180 → 10x = 110 → x = 11.
Then angle 2 = 4x − 7 = 44 − 7 = 37°.
Reason: The 65° at s∩z corresponds to the angle at s∩y (they're corresponding angles since y ∥ z), and (10x+5) is adjacent to that angle along line y, so they form a linear pair:
10x+5 + 65 = 180 → 10x = 110 → x = 11.
Then angle 2 = 4x − 7 = 44 − 7 = 37°.
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