Question

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

Explanation:

Step1: Assume angles are supplementary

If the two angles are supplementary, their sum is 180°. So, we set up the equation $(11x - 15)+(5x - 13)=180$.

Step2: Combine like - terms

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

Step3: Add 28 to both sides

$16x-28 + 28=180 + 28$, resulting in $16x=208$.

Step4: Solve for x

$x=\frac{208}{16}=13$.

Answer:

$x = 13$