Respuesta :
Let’s use a hexagon as the shape, Add all those up plus x =720. 720 is the sum of all interior angles of a polygon
The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.
Given :
- A polygon has 6 sides.
- The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.
The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:
Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.
Step 2 - The sum of interior angles of a hexagon is 720 degrees.
Step 3 - So, the values of 'x' can be calculated by using the below expression:
118 + 127 + 111 + 123 + 126 + x = 720
Step 4 - Simplify the above expression.
605 + x = 720
x = 720 - 605
x = 115 degrees
For more information, refer to the link given below:
https://brainly.com/question/4083236
