Question

Find m Can someone please help me

Answer 1

Answer:

∠ S = 151°

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, thus

sum = 180° × 3 = 540

Sum the interior angles and equate to 540

10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540, that is

43x - 62 = 540 ( add 62 to both sides )

43x = 602 ( divide both sides by 43 )

x = 14

Thus

∠ S = 13x - 31 = 13(14) - 31 = 182 - 31 = 151°