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find the x ?

Question

find the x ?

Explanation:

Step1: Recall polygon exterior angle sum

The sum of exterior angles of any polygon is \(360^\circ\).

Step2: Sum the given exterior angles

Given angles: \(90^\circ\), \(80^\circ\), \(70^\circ\), \(60^\circ\), and \(x\).
Sum: \(90 + 80 + 70 + 60 + x = 360\).
Calculate sum of known angles: \(90 + 80 = 170\), \(170 + 70 = 240\), \(240 + 60 = 300\).
So, \(300 + x = 360\).

Step3: Solve for \(x\)

Subtract 300 from both sides: \(x = 360 - 300 = 60\).

Answer:

\(x = 60^\circ\)