Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![**Problem Statement:**
Find the measure of \( \angle x \).
**Diagram Explanation:**
The diagram shows two intersecting lines forming an 'X' shape. This creates vertical angles at the intersection. The given angles are labeled as follows:
- One angle measures \( 132^\circ \).
- Another angle measures \( 31^\circ \).
**Angle \( x \) is the angle adjacent to the \( 132^\circ \) angle.**
**Solution:**
To find \( \angle x \), use the linear pair rule. A linear pair is formed by two adjacent angles whose non-common sides form a straight line. Therefore, the sum of the angles in a linear pair is \( 180^\circ \).
\[ \angle x + 132^\circ = 180^\circ \]
To solve for \( \angle x \):
\[ \angle x = 180^\circ - 132^\circ \]
\[ \angle x = 48^\circ \]
**Conclusion:**
The measure of \( \angle x \) is \(\boxed{48^\circ}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d79c4c-40ce-427b-b4a0-26ffd9f423cd%2F7225eb83-aaa2-4be7-9f21-7046a3393131%2Fbiuopf_processed.jpeg&w=3840&q=75)
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