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4. solve for x. parallelogram f g d e with angle at e labeled 72x and a…

Question

  1. solve for x.

parallelogram f g d e with angle at e labeled 72x and angle at d labeled 36°
type a response

Explanation:

Step1: Use parallelogram consecutive angles property

Consecutive angles in a parallelogram are supplementary, so their sum is $180^\circ$.
$72x + 36 = 180$

Step2: Isolate the term with x

Subtract 36 from both sides of the equation.
$72x = 180 - 36$
$72x = 144$

Step3: Solve for x

Divide both sides by 72.
$x = \frac{144}{72}$

Answer:

$x = 2$