Question

1. $x = _____$

Explanation:

Step1: Recall polygon - angle sum formula

The sum of interior angles of a pentagon is $(5 - 2)\times180^{\circ}=540^{\circ}$.

Step2: Set up an equation

$95+(3x + 23)+(9x - 6)+(7x - 4)+90 = 540$.

Step3: Combine like - terms

$(3x+9x + 7x)+(95 + 23-6-4 + 90)=540$.
$19x+(118-6-4 + 90)=540$.
$19x+(112-4 + 90)=540$.
$19x+(108 + 90)=540$.
$19x+198 = 540$.

Step4: Solve for x

Subtract 198 from both sides: $19x=540 - 198$.
$19x=342$.
Divide both sides by 19: $x=\frac{342}{19}=18$.

Answer:

$18$