Question

what is the value of x?
$98^\circ$
$x+91^\circ$
$2x$
$x = \square^\circ$
submit

Explanation:

Step1: Sum angles to 360°

The total degrees in a circle is $360^\circ$, so set up the equation:
$$98 + (x+91) + 2x = 360$$

Step2: Simplify left side

Combine like terms:
$$98 + 91 + x + 2x = 360$$
$$189 + 3x = 360$$

Step3: Isolate the variable term

Subtract 189 from both sides:
$$3x = 360 - 189$$
$$3x = 171$$

Step4: Solve for x

Divide both sides by 3:
$$x = \frac{171}{3}$$

Answer:

$x = 57^\circ$