Question

find the value of x in the figure below. (8x - 7)° (3x - 11)° x = ***just type the number and nothing else!

Explanation:

Step1: Identify angle - relationship

The two given angles are supplementary (sum to 180° as they are same - side interior angles of parallel lines). So, $(8x - 7)+(3x - 11)=180$.

Step2: Simplify the left - hand side

Combine like terms: $8x+3x-7 - 11 = 180$, which gives $11x-18 = 180$.

Step3: Isolate the variable term

Add 18 to both sides of the equation: $11x-18 + 18=180 + 18$, resulting in $11x=198$.

Step4: Solve for x

Divide both sides by 11: $x=\frac{198}{11}$.

Answer:

18