Question

find the value of x.

Explanation:

Step1: Use the sum of angles around a right - angle

The sum of angles around a right - angle (90°) and the given angle (57°) and the angle \(3x\) (since the sum of angles on a straight line is 180°, and the right - angle is 90°, we know that \(57^{\circ}+90^{\circ}+3x^{\circ}=180^{\circ}\)).

Step2: Simplify the equation

First, add 57 and 90: \(57 + 90=147\). So the equation becomes \(147+3x = 180\).
Then, subtract 147 from both sides: \(3x=180 - 147\).
\(3x=33\).

Step3: Solve for \(x\)

Divide both sides of the equation \(3x = 33\) by 3. \(x=\frac{33}{3}\).

Answer:

\(x = 11\)