Question

think about the process malak is building a bench. the bench comes out from the wall and there is a brace below like in the figure. the angle created between the wall and the brace is 59.3°. what is the equation to solve for the missing angle? what is the measure of the missing angle? the figure is not drawn to scale

Explanation:

Step1: Analyze the relationship between angles

The angle \(x\) and \(59.3^{\circ}\) are complementary (they form a right - angle together). The sum of complementary angles is \(90^{\circ}\).

Step2: Set up the equation

We know that \(x + 59.3^{\circ}=90^{\circ}\).

Step3: Solve for \(x\)

Subtract \(59.3^{\circ}\) from both sides of the equation: \(x=90^{\circ}-59.3^{\circ}\).

$$x = 30.7$$

Answer:

\(30.7\)