Question

think about the process arman 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 50.4°. 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. c x°+50.4° = 180° x°+90°+50.4° = 180° the measure of the missing angle is (type an integer or a decimal.)

Explanation:

Step1: Set up the equation

We know that the sum of angles in a right - angled triangle (where one angle is 90°) and another given angle is 50.4° and the missing angle is \(x\) is 180°. The equation is \(x + 90^{\circ}+50.4^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract 90° and 50.4° from both sides of the equation. \(x=180^{\circ}-90^{\circ}-50.4^{\circ}\).
\[x = 39.6^{\circ}\]

Answer:

\(39.6\)