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The sum of the angle measures of a quadrilateral is 360 degrees. Write and solve an equation to find the value of x.

A. 90x = 360
B. 180x = 360
C. 360 - x = 0
D. x + x + x + x = 360

Answer :

Final answer:

The question pertains to understanding the angle sum of a quadrilateral in mathematics. We use the given equation x + x + x + x = 360 to solve for x, resulting in an answer of 90 degrees.

Explanation:

The subject of this question is Mathematics and it pertains to understanding the sum of the angle measures of a quadrilateral. A quadrilateral is a polygon with four sides, and the sum of its interior angles is always 360 degrees. This is a fundamental principle in geometry.

To solve for x in this scenario, we can utilize the equation x + x + x + x = 360. This equation suggests that each angle of the quadrilateral is represented by 'x'. The equation represents the sum of the interior angles of a quadrilateral and equates it to 360 degrees.

To solve for x, we identify that x is repeated four times in the equation, thus combining the 'x's results in 4x. hence, the equation becomes: 4x = 360. We then solve for x by dividing both sides by 4. This gives the solution: x = 90 degrees.

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