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find the value of x. the sum of the angle measures is 360°.

Question

find the value of x. the sum of the angle measures is 360°.

Explanation:

Step1: Set up the equation

The sum of the angles in the quadrilateral is 360°. So, we have the equation $94 + x+81 + 57=360$.

Step2: Simplify the left - hand side

First, add the known angles: $94+81 + 57=232$. The equation becomes $232+x = 360$.

Step3: Solve for x

Subtract 232 from both sides of the equation: $x=360 - 232$.
$x = 128$.

Answer:

$128$