Question

1. find x (x - 6)° (x + 12)° x = _

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. So, $x - 6=x + 12$ is incorrect. But if we assume these are supplementary angles (since they are adjacent - like angles formed by two intersecting lines), the sum of adjacent angles on a straight - line formed by two intersecting lines is $180^{\circ}$. So, $(x - 6)+(x + 12)=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $(x+x)+(-6 + 12)=180$, which gives $2x+6 = 180$.

Step3: Isolate the variable term

Subtract 6 from both sides of the equation: $2x+6-6=180 - 6$, resulting in $2x=174$.

Step4: Solve for x

Divide both sides of the equation by 2: $\frac{2x}{2}=\frac{174}{2}$, so $x = 87$.

Answer:

$87$