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The image depicts two lines intersecting at a point, forming two angles. One angle measures \(23^\circ\). The question asks for the measure of the angle \(x\) which is supplementary to the \(23^\circ\) angle.

Supplementary angles add up to \(180^\circ\). Thus, the measure of angle \(x\) can be calculated as follows:

\[
x = 180^\circ - 23^\circ = 157^\circ
\]

Therefore, the measure of angle \(x\) is \(157^\circ\).

Would you like more details on this solution or have any other questions? Here are some related topics to explore:

1. What are supplementary angles?
2. How do you find the measure of an angle if you know its complement?
3. What is the sum of angles at a point?
4. How can the properties of parallel lines and transversal angles help in solving angle problems?
5. Can the sum of two angles be less than \(180^\circ\)?

**Tip:** Remember, angles forming a straight line always sum up to \(180^\circ\). This is a useful property when dealing with problems involving adjacent angles or straight lines.

Learn how to find the measure of a supplementary angle. In this example, angle x is supplementary to 23°. Understand how to use the formula to solve for x. This concept is commonly introduced in Grades 6-8 geometry.

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