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 relationship between the angles

The given angle of 45° and the angle adjacent to _x_, let's call it _y_, are supplementary angles, meaning they add up to 180°. Also, _x_ and _y_ are supplementary angles.

Step 2: Calculate angle _y_

Since the 45° angle and _y_ are supplementary:

_y_ + 45° = 180°

_y_ = 180° - 45°

_y_ = 135°

Step 3: Calculate _x_

Since _x_ and _y_ are supplementary:

_x_ + _y_ = 180°

_x_ + 135° = 180°

_x_ = 180° - 135°

_x_ = 45°

Final Answer: The value of x is 45°.

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