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3 years ago

Geometry please help!

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

The polygon here has 8 sides, that is n = 8, thus

sum = 180° × 6 = 1080°

Sum the given angles and equate to 1080, that is

14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080

32x + 824 = 1080 ( subtract 824 from both sides )

32x = 256 ( divide both sides by 32 )

x = 8

Thus the 2 unknown angles are

14x = 14 × 8 = 112°

18x = 18 × 8 = 144°

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