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3 years ago

Work out the value of the missing angle x

Mathematics

1 answer:

garik1379 [7]3 years ago

6 0

Answer:

The value of the missing angle, x° is 115°

Step-by-step explanation:

The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon

The number of sides in the given polygon, n = 10 sides

Therefore;

The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°

The given angles of the polygon are;

107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°

Therefore, we have;

107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°

x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°

The value of the missing angle, x° = 115°.

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