Question

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

Explanation:

Step1: Identify angle - relationship

The two angles are supplementary (linear - pair), so \(72+(7x + 24)=180\).

Step2: Simplify the left - hand side

\(7x+(72 + 24)=180\), so \(7x + 96=180\).

Step3: Isolate the term with \(x\)

Subtract 96 from both sides: \(7x=180 - 96\), so \(7x = 84\).

Step4: Solve for \(x\)

Divide both sides by 7: \(x=\frac{84}{7}\), so \(x = 12\).

Answer:

The first blank is 72, the second blank is 96, the third blank is 84, the fourth blank is 12.