Question

16 solve for x. answer: 65° 13x + 11

Explanation:

Step1: Identify angle - relationship

The two angles are supplementary (linear - pair), so their sum is 180°.
$65+(13x + 11)=180$

Step2: Simplify the left - hand side

Combine like terms: $65+11+13x=180$, which gives $76 + 13x=180$.

Step3: Isolate the variable term

Subtract 76 from both sides: $13x=180 - 76$.
$13x=104$

Step4: Solve for x

Divide both sides by 13: $x=\frac{104}{13}$.
$x = 8$

Answer:

$x = 8$