Question

what is the value of x?
$x+79^\circ$
$x+64^\circ$
$x+9^\circ$
$82^\circ$
$x = \square^\circ$

Explanation:

Step1: Sum all arcs to 360°

$$(x+79^\circ)+(x+64^\circ)+(x+9^\circ)+82^\circ=360^\circ$$

Step2: Simplify left-hand side

$$3x + 234^\circ=360^\circ$$

Step3: Isolate the term with x

$$3x=360^\circ-234^\circ$$
$$3x=126^\circ$$

Step4: Solve for x

$$x=\frac{126^\circ}{3}$$

Answer:

$42^\circ$