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vagabundo [1.1K]
1 year ago
7

Consider the following polygon. Determine the measure of both angles A and B. A= (16x+7) B= (13x+2)

Mathematics
1 answer:
lara31 [8.8K]1 year ago
3 0

The measure of both angles A and B

Angle A= 16(7.8)+5= 129.8

Angle B =13(7.8)+4= 105.4

<h3>What is Hexagon?</h3>

A hexagon can be defined as a closed two-dimensional polygon with six sides.

Hexagon has 6 vertices and 6 angles also.

Hexa means six and gonia means angles.

According to the given statement;

Hexagons have six sides, and so does this figure.

You can calculate the degrees in a shape by doing (n-2)180. With n being the number of sides(6)

There are 720 degrees in a hexagon.

1) Now write the following equation:

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

2) Combine alike terms:

26x+517=720

3) Subtract 538 from both sides:

26x=203

4) Divide both sides by 26

x=7.8

5) Plug in 7.8 as X in the original two equations for A and B

A- 16(7.8)+5= 129.8

B- 13(7.8)+4= 105.4

To know more about HEXAGON ,visit;

brainly.com/question/3295271

#SPJ9

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One solution:
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Another solution:
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