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

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

Solution

Step 1: Find the supplementary angle to 95°

The angle supplementary to 95° is 180° - 95° = 85°. This angle is formed by the horizontal line and line _n_.

Step 2: Find the corresponding angle to the supplementary angle

Since lines _m_ and _n_ are parallel, the angle corresponding to 85° is also 85°. This angle is formed by the horizontal line and line _m_.

Step 3: Find x

Since _x_ and the 85° angle are supplementary, _x_ = 180° - 85° = 95°.

\$\boxed{x = 95}\$

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