Respuesta :

Answer:

d and b

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 = 8 , then

sum = 180° × 6 = 1080°

note there are 4 angles congruent to ∠ 1 and 1 angle congruent to ∠ 2

sum the interior angles and equate to 1080

5(10x + 15) + 2(14x) + 6x - 3 = 1080 ( distribute parenthesis on left side )

50x + 75 + 28x + 6x - 3 = 1080 ( simplify left side )

84x + 72 = 1080 ( subtract 72 from both sides )

84x = 1008 ( divide both sides by 84 )

x = 12 → option d

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∠ 1 = 10x + 15 = 10(12) + 15 = 120 + 15 = 135°

∠ 2 = 14x = 14 × 12 = 168°

∠ 3 = 6x - 3 = 6(12) - 3 = 72 - 3 = 69°

the largest interior angle is 168° → option b