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question 4 of 10 in the diagram below, (overleftrightarrow{de}) is para…

Question

question 4 of 10
in the diagram below, (overleftrightarrow{de}) is parallel to (overleftrightarrow{xy}). what is the value of (y)?

a. 94
b. 86
c. 106
d. 104

Explanation:

Step1: Use the property of adjacent angles

Since \(94^{\circ}\) and \(y^{\circ}\) are adjacent angles on a straight - line, the sum of adjacent angles on a straight - line is \(180^{\circ}\). So, we have the equation \(94 + y=180\).

Step2: Solve the equation for \(y\)

Subtract \(94\) from both sides of the equation \(y = 180-94\).

Answer:

\(y = 86\), so the answer is B. 86