Question

look at the diagram. which equation can be used to solve for x? 11x + 24 = 180 11x + 24 = 90 11x = 90 6x = 24

Explanation:

Step1: Identify angle - sum relationship

The angles \((6x)^{\circ}\), \((5x)^{\circ}\) and \(24^{\circ}\) together form a right - angle (marked with the right - angle symbol), which is \(90^{\circ}\).

Step2: Set up the equation

The sum of the measures of these angles is equal to \(90^{\circ}\). So, \((6x)+(5x)+24 = 90\).
Combining like terms, we get \(11x + 24=90\).

Answer:

\(11x + 24 = 90\)