Question

Need done ASAP due later today SHOW WORK

Answer 1

Answer:

x = 56, x = 30

Step-by-step 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