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think about the process write an equation in terms of x that will make …

Question

think about the process write an equation in terms of x that will make d||m.
which of the following equations will make d||m?
a. 180-(2x - 23)=95
b. 2x = 72

Explanation:

Step1: Recall the property of parallel lines

When two lines are parallel, consecutive interior angles are supplementary. That is, their sum is \(180^{\circ}\).

Step2: Analyze the angles

If \(d\parallel m\), then the angle \((2x - 23)^{\circ}\) and \(95^{\circ}\) are consecutive interior angles. So, \((2x - 23)+95 = 180\), which can be rewritten as \(180-(2x - 23)=95\)

Answer:

A. \(180-(2x - 23)=95\)