https://file.aiquickdraw.com/mathbot/file/1727316463032z3aboive.jpg

The image shows a straight angle, with two angles labeled: one is \(153^\circ\) and the other is \((x - 3)^\circ\). These two angles form a linear pair, meaning they are supplementary, and their sum must equal \(180^\circ\).

Let's solve for \(x\):

\[
153^\circ + (x - 3)^\circ = 180^\circ
\]

Simplifying the equation:

\[
153 + x - 3 = 180
\]

\[
150 + x = 180
\]

\[
x = 180 - 150
\]

\[
x = 30
\]

Thus, the value of \(x\) is \(30^\circ\).

Would you like further details on this solution?

Here are some related questions:
1. What are supplementary angles?
2. Can angles in a triangle also be supplementary?
3. How do linear pairs help in solving for unknown angles?
4. What would happen if the angle sum exceeded \(180^\circ\) in such cases?
5. How can we use algebra in geometry to solve angle problems?

**Tip**: When working with linear pairs, always remember that their sum is \(180^\circ\), as they form a straight line.

Find the value of x in a linear pair, where one angle is 153 degrees and the other is (x-3) degrees.

Learn how to solve for x in a linear pair where one angle is 153 degrees and the other is (x-3) degrees. This problem covers key concepts in supplementary angles and basic algebra. Suitable for Grades 6-8.

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