Question

1. find the value of x. (11x - 15)° (5x - 13)°

Explanation:

Step1: Set up equation

Since the two angles are supplementary (sum to 180°), we have the equation $(11x - 15)+(5x - 13)=180$.

Step2: Combine like - terms

$11x+5x-15 - 13 = 180$, which simplifies to $16x-28 = 180$.

Step3: Isolate the variable term

Add 28 to both sides of the equation: $16x-28 + 28=180 + 28$, resulting in $16x=208$.

Step4: Solve for x

Divide both sides by 16: $x=\frac{208}{16}=13$.

Answer:

$x = 13$