Question
An irregular polygon has its external angles 140°,120°,142°,132°,112°,and x°.find the value of x .
Answers
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To find the value of x, we need to use the property that the sum of the external angles of any polygon is 360 degrees.
The sum of the given external angles is 140° + 120° + 142° + 132° + 112° + x° = 646°.
To find x, we subtract the sum of the known angles from 360°: 360° - 646° = -286°.
Therefore, the value of x is -286°.
The sum of the given external angles is 140° + 120° + 142° + 132° + 112° + x° = 646°.
To find x, we subtract the sum of the known angles from 360°: 360° - 646° = -286°.
Therefore, the value of x is -286°.