Question

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

Explanation:

Step1: Use supplementary - angle property

Since the two angles are supplementary (linear - pair of angles), we know that \(72+(7x + 24)=180\).

Step2: Simplify the left - hand side

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

Step3: Isolate the term with \(x\)

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

Step4: Solve for \(x\)

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

Answer:

The blanks should be filled as follows: The first blank is 72, the second blank is 96, the third blank is 84, and \(x = 12\).