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find the value of x. 126° 80° x° 82° x =

Question

find the value of x. 126° 80° x° 82° x =

Explanation:

Step1: Recall quadrilateral angle sum

The sum of interior angles of a quadrilateral is \(360^\circ\).

Step2: Set up the equation

Let the angles be \(x^\circ\), \(126^\circ\), \(80^\circ\), and \(82^\circ\). So, \(x + 126 + 80 + 82 = 360\).

Step3: Solve for x

First, calculate the sum of known angles: \(126 + 80 + 82 = 288\). Then, \(x = 360 - 288 = 72\).

Answer:

\(x = 72\)