Question

find the value of x.
(2x)° (4x + 108)°
x =

Explanation:

Step1: Note angle - relationship

The two angles $(2x)^{\circ}$ and $(4x + 108)^{\circ}$ are supplementary (since they form a straight - line), so their sum is $180^{\circ}$.
$2x+(4x + 108)=180$

Step2: Simplify the left - hand side

Combine like terms: $2x+4x+108 = 6x+108$. So, $6x+108 = 180$.

Step3: Isolate the variable term

Subtract 108 from both sides: $6x=180 - 108$.
$6x=72$

Step4: Solve for x

Divide both sides by 6: $x=\frac{72}{6}$.
$x = 12$

Answer:

$12$