Questions: Parallel Lines Lines A and B are parallel. Find the measure of angle a. m angle a=[?]

Parallel Lines Lines A and B are parallel. Find the measure of angle a. m angle a=[?]
Transcript text: Parallel Lines Lines $A$ and $B$ are parallel. Find the measure of $\angle \mathrm{a}$. \[ \mathrm{m} \angle \mathrm{a}=[?]^{\circ} \]
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Solution

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Solution Steps

Step 1: Identify the given information

Lines A and B are parallel, and the measure of the given angle is 112°.

Step 2: Recognize the relationship between angles

Since lines A and B are parallel, the given angle (112°) and angle \(a\) are corresponding angles.

Step 3: Apply the corresponding angles postulate

Corresponding angles formed by a transversal intersecting two parallel lines are equal.

Final Answer

The measure of angle \(a\) is 112°.

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