Answer:
66 or 66° if you need a degree symbol
Step-by-step explanation:
For same-side interior angle, both angles add up to 180°
WHY
If you notice x° side is equivalent to the same-side exterior or another angle that's next to 114°. 114° is also equivalent to the another angle beside x°. This is because m || n or line m is parallel to line n.
Hence, forming a supplementary that adds up to 180°.
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Applying a theorem, we get:
114°+x°=180°
Subtract both sides by 114°
114°+x°-114°=180°-114°
x=66°
Therefore x=66° or x = 66 if not included the degree symbol.
