ABCD is a square. Find the value of x. ### Problem DescriptionABCD is a square. Find the value of \( x \).### Diagram ExplanationThe diagram represents a square ABCD with lines drawn from corner to corner, forming two diagonals. These diagonals intersect at the center, creating four right-angle triangles within the square. At the intersection point of the diagonals, an angle is marked as \((11x + 35)^\circ\).### Key Points- In a square, the diagonals are **perpendicular bisectors** of each other.- This means they form four right angles (90 degrees) at the intersection.### Problem SolutionGiven that the angle at the intersection of the diagonals is \( (11x + 35)^\circ \):Since the diagonals are perpendicular, they create a 90-degree angle.Set the expression equal to 90 degrees:\[ 11x + 35 = 90 \]Solve for \( x \):\[ 11x = 90 - 35 \] \[ 11x = 55 \] \[ x = \frac{55}{11} \] \[ x = 5 \]Thus, the value of \( x \) is:\[ x = 5 \]

Name: ABCD is a square. Find the value of x. ### Problem DescriptionABCD is
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: ABCD is a square. Find the value of x. ### Problem DescriptionABCD is a square. Find the value of \( x \).### Diagram ExplanationThe diagram represents a square ABCD with lines drawn from corner to corner, forming two diagonals. These diagonals inter