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Nitella [24]
2 years ago
14

The diagram shows part of a regular polygon shaded in green.The interior angle is (28x+4)°.The exterior angle is (5x+11)°.How ma

ny sides does the polygon have?The diagram is not drawn to scale.
Mathematics
1 answer:
qwelly [4]2 years ago
6 0

Answer:

10 sides

Step-by-step explanation:

(28x+4)°+(5x+11)°=180°

28x+5x+11°+4°=180°

33x+15°=180°

33x=180-15

33x=165°

X=5.

Interior =(28×5)+4=144°

Exterior=(5×5)+11°=36°

No. of sides=360°\exterior

360°\36

10.

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