Question

What is m А
105°
86°
C
E
137°
D

Answer 1

∠ C = 122°

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°

Answer 2

122 degrees

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