Question

question 15 (multiple choice worth 4 points) (02.06r mc) figure abcd is a rhombus, and ( mangle aeb = 7x + 6 ). solve for x. 5.58 12 24.85 not enough information

Explanation:

Step1: Recall property of rhombus diagonals

The diagonals of a rhombus are perpendicular to each other. So, \(m\angle AEB = 90^{\circ}\).

Step2: Set up the equation

Since \(m\angle AEB=7x + 6\) and \(m\angle AEB = 90^{\circ}\), we have the equation \(7x+6 = 90\).

Step3: Solve for \(x\)

Subtract 6 from both sides: \(7x=90 - 6\), so \(7x=84\).
Divide both sides by 7: \(x=\frac{84}{7}\).

Answer:

\(x = 12\)