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

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

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Solution Steps

Step 1: Find y

Since lines _m_ and _n_ are parallel, the given angle of 47° and angle _y_ are alternate interior angles. Therefore, they are congruent.

$y = 47°$

Step 2: Find x

Angles _x_ and _y_ are supplementary angles, meaning they add up to 180°.

$x + y = 180°$

Step 3: Solve for x

Substitute the value of _y_ (47°) into the equation from Step 2.

$x + 47° = 180°$

$x = 180° - 47°$

$x = 133°$

Final Answer:

$x = 133°$

$y = 47°$

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