Asked by D4VD
Parallel lines s and t are cut by a transversal, r, as shown.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank.
What is the value of x to the nearest whole number?
18
20
86
94
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 18.
Reason: The "1" is a label for an angle at s that corresponds to the 94° angle at t, so that angle = 94°. At the s intersection that 94° and (5x − 4)° are a linear pair, so
94 + (5x − 4) = 180 → 5x + 90 = 180 → 5x = 90 → x = 18.
Reason: The "1" is a label for an angle at s that corresponds to the 94° angle at t, so that angle = 94°. At the s intersection that 94° and (5x − 4)° are a linear pair, so
94 + (5x − 4) = 180 → 5x + 90 = 180 → 5x = 90 → x = 18.
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