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kenny6666 [7]
2 years ago
15

What is the value of x?

Mathematics
2 answers:
n200080 [17]2 years ago
7 0

Answer:

28

Step-by-step explanation:

Lana71 [14]2 years ago
5 0

Answer:

x = 14

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6, hence

sum = 180° × 4 = 720°

Each exterior angle plus it's interior angle = 180°

Subtract each exterior angle from 180 to obtain interior angle

180 - 80 = 100, 180 - 56 = 124, 180 - 61 = 119, 180 - 43 = 137, 180 - 92 = 88

The 6 th interior angle is the sum of the 5 interior angles subtracted from 720

6 th angle = 720° - (100 + 124 + 119 + 137 + 88)° = 720° - 568° = 152°

The 6 th angle and 2x sum to 180 ( same reason as given above )

2x + 152 = 180 ( subtract 152 from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

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