Question

find the value of x. (11x - 12)° 36° x =

Explanation:

Step1: Note angle - sum property

The sum of angles around a point is $360^{\circ}$. Here, we have a right - angle ($90^{\circ}$), an angle of $36^{\circ}$, and the angle $(11x - 12)^{\circ}$.

Step2: Set up the equation

$90+36+(11x - 12)=180$ (since the three angles form a semi - circle or a straight - line angle sum of $180^{\circ}$). First, simplify the left - hand side of the equation: $90 + 36-12+11x=180$. Combine like terms: $114 + 11x=180$.

Step3: Solve for x

Subtract 114 from both sides: $11x=180 - 114$. So, $11x = 66$. Then divide both sides by 11: $x=\frac{66}{11}=6$.

Answer:

$6$