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Answer :

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Answer:

122 degrees

Step-by-step explanation:

*A pentagon has a total of 540degrees

1st step: take all of the degrees and add them up:

105 + 90 + 86 + 137 = 418

2nd step: subtract the sum from 540:

540 - 418 = 122

The missing angle is 122 degrees

Answer:

∠ C = 122°

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 = 5, then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540°

∠ C + 137° + 86° + 105° + 90° = 540 , that is

∠ C + 418° = 540° ( subtract 418° from both sides )

∠ C = 122°

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