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look at the diagram. which equation can be used to solve for x? $4(2x)=…

Question

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

Explanation:

Step1: Set up the equation

The total angle is the sum of 4 equal angles, so:
$$4(x + 2) = 144$$

Step2: Solve for x, divide both sides by 4

$$x + 2 = \frac{144}{4}$$
$$x + 2 = 36$$

Step3: Isolate x, subtract 2 from both sides

$$x = 36 - 2$$
$$x = 34$$

Answer:

  1. Correct equation: $4(x + 2) = 144$
  2. $x = 34$