Question

find the value of x.

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is $360^{\circ}$. So, $74^{\circ}+90^{\circ}+113^{\circ}+3x^{\circ}=360^{\circ}$.

Step2: Simplify the left - hand side

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

Step3: Solve for $x$

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

Answer:

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