Question

find the value of x.
x = \boxed{}
submit

Explanation:

Step1: Sum angles to 360°

The total of all angles around point \(F\) plus the right angle equals \(360^\circ\). There are 3 angles of \((x+4)^\circ\), one right angle (\(90^\circ\)).
$$3(x+4) + 90 = 360$$

Step2: Simplify left side

Expand and combine like terms.
$$3x + 12 + 90 = 360$$
$$3x + 102 = 360$$

Step3: Isolate 3x term

Subtract 102 from both sides.
$$3x = 360 - 102$$
$$3x = 258$$

Step4: Solve for x

Divide both sides by 3.
$$x = \frac{258}{3}$$

Answer:

\(86\)