Question

find the value of x.

x =
submit

Explanation:

Step1: Sum angles to 360°

The total of all angles around point F is $360^\circ$. We know one right angle ($90^\circ$) and three $(x+4)^\circ$ angles.
$$(x+4) + (x+4) + (x+4) + 90 = 360$$

Step2: Simplify the left side

Combine like terms.
$$3(x+4) + 90 = 360$$

Step3: Isolate the variable term

Subtract 90 from both sides.
$$3(x+4) = 360 - 90$$
$$3(x+4) = 270$$

Step4: Solve for $(x+4)$

Divide both sides by 3.
$$x+4 = \frac{270}{3}$$
$$x+4 = 90$$

Step5: Solve for x

Subtract 4 from both sides.
$$x = 90 - 4$$

Answer:

$86$