Math Problem Statement

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

Solution

The image shows a straight angle, with two angles labeled: one is 153153^\circ and the other is (x3)(x - 3)^\circ. These two angles form a linear pair, meaning they are supplementary, and their sum must equal 180180^\circ.

Let's solve for xx:

153+(x3)=180153^\circ + (x - 3)^\circ = 180^\circ

Simplifying the equation:

153+x3=180153 + x - 3 = 180

150+x=180150 + x = 180

x=180150x = 180 - 150

x=30x = 30

Thus, the value of xx is 3030^\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 180180^\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 180180^\circ, as they form a straight line.

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Math Problem Analysis

Mathematical Concepts

Linear Pair
Supplementary Angles
Basic Algebra

Formulas

Sum of supplementary angles = 180 degrees

Theorems

Linear Pair Theorem

Suitable Grade Level

Grades 6-8