Question

complete the steps to find the value of x. 72° (7x + 24)° + (7x + 24) = 180 7x + = 180 7x = x =

Explanation:

Step1: Identify supplementary angles

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

Step2: Simplify the left - hand side

Combine like terms: $7x+(72 + 24)=7x + 96$. So, $7x+96 = 180$.

Step3: Isolate the variable term

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

Step4: Solve for x

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

Answer:

$x = 12$