Questions: Given m n, find the value of x.

Given m  n, find the value of x.
Transcript text: Given $m \| n$, find the value of x .
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Solution

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Solution Steps

Step 1: Identify the given angle

The given angle is 52°. This angle is above the top parallel line and to the left of the transversal line _l_.

Step 2: Find the corresponding angle

The angle _x_ is below the bottom parallel line and to the left of the transversal line _l_. This makes the given angle and angle _x_ corresponding angles.

Step 3: Corresponding angles are congruent.

Since the lines are parallel, corresponding angles are congruent. Therefore, the measure of angle _x_ is equal to the measure of the given angle.

Final Answer

128

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