Question

72° (7x + 24)°
□+(7x + 24)=180
7x+□ = 180
7x=□
x = □

Explanation:

Step1: Use property of supplementary angles

Since the two angles are supplementary (linear - pair), $72+(7x + 24)=180$.

Step2: Simplify the left - hand side

$7x+72 + 24=7x + 96$. So, $7x+96 = 180$.

Step3: Isolate the term with $x$

Subtract 96 from both sides: $7x=180 - 96$.
$7x = 84$.

Step4: Solve for $x$

Divide both sides by 7: $x=\frac{84}{7}=12$.

Answer:

$x = 12$