Respuesta :

Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;

  • Angle A: 119º.
  • Angle B: 93º.

What is the sum of the internal angles of a polygon?

The sum of the internal angles of a polygon with n vertices is given by the following equation:

S = (n - 2) x 180º.

For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:

S = (6 - 2) x 180º = 720º.

Considering each internal angle, we can solve for x as follows:

13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720

29x + 517 = 720

29x = 203

x = 203/29

x = 7.

Then the measures are given as follows:

  • Angle A: 16 x 7 + 7 = 119º.
  • Angle B: 13 x 7 + 2 = 93º.

More can be learned about the sum of the internal angles of a polygon at https://brainly.com/question/224658

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