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.
![### Polygon Angle Problem
In this problem, you are given a polygon with the following internal angles:
- 116°
- 135°
- 136°
- 164°
- 101°
- 139°
- 151°
- One unknown angle \( x \)
Your task is to determine the value of \( x \).
#### Step-by-Step Solution:
1. **Identify the Polygon**:
This is an octagon since it has eight sides.
2. **Sum of Internal Angles**:
The formula for the sum of the internal angles of an \( n \)-sided polygon is:
\[
(n - 2) \times 180^\circ
\]
For an octagon (\( n = 8 \)):
\[
(8 - 2) \times 180^\circ = 6 \times 180^\circ = 1080^\circ
\]
3. **Sum Given Angles and Set Up the Equation**:
Add the given angles together:
\[
116^\circ + 135^\circ + 136^\circ + 164^\circ + 101^\circ + 139^\circ + 151^\circ = 942^\circ
\]
The sum of the given angles plus \( x \) should equal the total sum of internal angles of the octagon:
\[
942^\circ + x = 1080^\circ
\]
4. **Solve for \( x \)**:
\[
x = 1080^\circ - 942^\circ = 138^\circ
\]
Thus, the value of \( x \) is \( 138^\circ \).
### Question:
What is the value of \( x \)?
### Answer:
The value of \( x \) is \( 138^\circ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb294f3d7-c37e-4d19-872e-5bb2e2baac27%2Fa3e99171-c17e-4bd2-a584-f9f5b184f5dc%2Fxfrlino_processed.jpeg&w=3840&q=75)
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