Answer:
x = 56, x = 30
Explanation:
(a)
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 interior angles and equate to 540
72 + 2x + 99 + 89 + 3x = 540, that is
5x + 260 = 540 ( subtract 260 from both sides )
5x = 280 ( divide both sides by 5 )
x = 56
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(b)
The sum of the exterior angles of a polygon = 360°
sum the exterior angles and equate to 360
94 + 56 + 4.5x + x + 1.5x = 360, that is
7x + 150 = 360 ( subtract 150 from both sides )
7x = 210 ( divide both sides by 7 )
x = 30