Question

complete the steps to find the value of x. 65° 5 (11x - 17)° 65 + (square)=180 11x+(square)=180 11x=(square) x = (square)

Explanation:

Step1: Identify supplementary angles

The angle of $65^{\circ}$ and the angle $(11x - 17)^{\circ}$ are supplementary (linear - pair of angles), so $65+(11x - 17)=180$. First, expand the left - hand side: $65 + 11x-17 = 180$, which simplifies to $11x+(65 - 17)=180$, so $11x + 48=180$.

Step2: Isolate the term with $x$

Subtract 48 from both sides of the equation $11x + 48=180$. We get $11x=180 - 48$.

Step3: Calculate the right - hand side

$180−48 = 132$, so $11x = 132$.

Step4: Solve for $x$

Divide both sides of the equation $11x = 132$ by 11. We have $x=\frac{132}{11}=12$.

Answer:

$x = 12$