Question

which equation can be used to solve for x?
$4(2x) = 144$
$8x = 144$
$4x + 2 = 144$
$4(x + 2) = 144$
solve for x.

Explanation:

Part 1: Determine the equation to solve for \( x \)

Step1: Analyze the angle composition

There are 4 angles each of measure \( (x + 2)^\circ \) that add up to \( 144^\circ \).

Step2: Form the equation

The sum of 4 angles of \( (x + 2)^\circ \) is \( 4(x + 2) \), and this equals \( 144^\circ \). So the equation is \( 4(x + 2)=144 \).

Step1: Divide both sides by 4

Given \( 4(x + 2)=144 \), divide both sides by 4: \( \frac{4(x + 2)}{4}=\frac{144}{4} \), which simplifies to \( x + 2 = 36 \).

Step2: Subtract 2 from both sides

Subtract 2 from both sides: \( x + 2-2=36 - 2 \), so \( x = 34 \).

Answer:

\( 4(x + 2)=144 \)

Part 2: Solve for \( x \)