229 + m<x = 360
The sum of the interior angles of a quadrilateral is 360 degrees.
Subtraction property the equality
A quadrilateral with opposite angles congruent is parallelogram.
Simplify (Combine like terms)
choose the correct answer and explain why
m = 131
Explanation: By subtracting 229 from both sides of the equation, we get m + x = 131. Since the sum of the interior angles of a quadrilateral is 360 degrees, we can conclude that m = 131.
To solve the equation 229 + m < x = 360, we need to isolate the variable "m". Let's start by subtracting 229 from both sides of the equation:
229 + m < x - 229 = 360 - 229
Simplifying, we get:
m < x - 131 = 360 - 229
Now, since we cannot determine the value of "x" or the relationship between "m" and "x" based on the given equation, we cannot solve for "m" specifically. Therefore, we cannot determine the correct answer.
The explanation provided regarding the sum of interior angles of a quadrilateral, the subtraction property of equality, and the statement about a quadrilateral with opposite angles congruent being a parallelogram are all irrelevant and do not pertain to the given equation.
To solve the equation 229 + m < x = 360, we need to isolate the variable "m".
1. Start by subtracting 229 from both sides of the equation:
229 + m < x - 229 = 360 - 229
This simplifies to:
m < x - 131 = 131
The inequality becomes m < x - 131 = 131.
Now let's analyze the second statement:
"The sum of the interior angles of a quadrilateral is 360 degrees."
This statement is true. In geometry, the sum of the interior angles in any quadrilateral is always equal to 360 degrees.
Next, we have the statement:
"A quadrilateral with opposite angles congruent is a parallelogram."
This statement is also true. In a quadrilateral, if opposite angles are congruent (have the same measure), then the quadrilateral is a parallelogram.
Finally, we have to simplify the equation and select the correct answer:
m < x - 131 = 131
To simplify this equation further, we can add 131 to both sides:
m < x - 131 + 131 = 131 + 131
This simplifies to:
m < x = 262
Therefore, the correct answer is m < x = 262.