Question

1. find the value of x.

Explanation:

Step1: Recall sum - of - interior - angles formula

The sum of the interior angles of a hexagon is given by $(n - 2)\times180^{\circ}$, where $n = 6$. So, $(6 - 2)\times180^{\circ}=720^{\circ}$.

Step2: Set up an equation

We know the angles of the hexagon are $45^{\circ},135^{\circ},3x^{\circ},135^{\circ},45^{\circ},x^{\circ}$. Then $45 + 135+3x + 135+45+x=720$.

Step3: Combine like - terms

$(45 + 135+135+45)+(3x + x)=720$.
$360 + 4x=720$.

Step4: Solve for x

Subtract 360 from both sides: $4x=720 - 360$.
$4x = 360$.
Divide both sides by 4: $x=\frac{360}{4}=90$.

Answer:

$x = 90$