Question

find the value of x.

x =

submit

Explanation:

Step1: Recall angle - sum property of a circle

The sum of angles around a point is $360^{\circ}$.

Step2: Set up the equation

We have $74^{\circ}+90^{\circ}+113^{\circ}+3x^{\circ}=360^{\circ}$.

Step3: Simplify the left - hand side

First, add the known angles: $74 + 90+113=277$. So the equation becomes $277 + 3x=360$.

Step4: Solve for x

Subtract 277 from both sides: $3x=360 - 277=83$. Then divide both sides by 3: $x=\frac{83}{3}\approx27.67$.

Answer:

$x = \frac{83}{3}$