To determine the correct equation for the measure of \( x \), we need to know the context in which \( x \) is being used. However, if it is related to angles and we need \( x \) in relation to other known angles, we can analyze the options:
- \( x + 118 = 360 \): This equation seems to relate \( x \) to a full circle (360 degrees), suggesting the other angle is an external angle or similar.
- \( x + 118 = 180 \): This equation suggests that the sum of \( x \) and another angle equates to a straight line (180 degrees), common in geometry for supplementary angles.
- \( x + 118 = 90 \): This suggests that \( x \) and another angle sum to a right angle (90 degrees), indicating complementary angles.
- \( x + x = 118 \): This suggests that two \( x \) values would sum to 118, possibly indicating equal angles.
Without additional context regarding the scenario (e.g., the relationship between the angles), it's difficult to determine the one correct equation definitively.
However, the two most commonly used equations in angle-related problems would often be:
- For supplementary angles: \( x + 118 = 180 \)
- For finding a part of a circle: \( x + 118 = 360 \)
If you're specifically looking for a relationship with supplementary angles involving \( x \), then the answer would be:
\( x + 118 = 180 \).
If the context suggests the angles should sum to 360, then use \( x + 118 = 360 \) instead. Please provide further context to refine the answer if necessary!
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