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question 1-11 for items 10-13, use the figure shown. lines a, b, c, and…

Question

question 1-11
for items 10-13, use the figure shown. lines a, b, c, and d intersect as shown.
what is the value of x?
x =

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). The angle adjacent to \(124^{\circ}\) is \(180 - 124\).
\(180-124 = 56\)

Step2: Use the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are equal. Here, \(x\) and the angle calculated in Step1 are alternate - interior angles.

Answer:

\(56\)