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In Exercises 21-24 find the value of x.(See Example 5.) 21. 22

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In Exercises 21-24 find the value of x.(See Example 5.) 21. 22

In Exercises 21-24 find the value of x.(See Example 5.) 21. 22

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JarvisMaster · Tutor for 5 years

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To find the value of \(x\) in the given hexagon, we need to use the property that the sum of the exterior angles of any polygon is always 360 degrees. This is true regardless of the number of sides the polygon has.Given the exterior angles of the hexagon are 39 degrees, 50 degrees, 48 degrees, 59 degrees, 58 degrees, and \(x\) degrees, we can set up the following equation to find \(x\):\(39 + 50 + 48 + 59 + 58 + x = 360\)Now, let's add up the given angles:\(39 + 50 + 48 + 59 + 58 = 254\)Next, we subtract the sum of the known angles from 360 degrees to find \(x\):\(x = 360 - 254\)\(x = 106\)Therefore, the value of \(x\) is 106 degrees.
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