Question

find the value of x. (7x - 11)° (3x + 41)°

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles (assuming the two horizontal lines are parallel as indicated by the arrow - heads), and corresponding angles are equal. So we set up the equation $7x - 11=3x + 41$.

Step2: Isolate variable terms

Subtract $3x$ from both sides of the equation:
$7x-3x - 11=3x-3x + 41$
$4x-11 = 41$.

Step3: Isolate the variable

Add 11 to both sides of the equation:
$4x-11 + 11=41 + 11$
$4x=52$.

Step4: Solve for x

Divide both sides by 4:
$x=\frac{52}{4}=13$.

Answer:

$13$