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

Question

3 years ago

14

ny sides does the polygon have?The diagram is not drawn to scale.

1 answer:

qwelly [4] · Answer 1 · 2022-09-15T07:03:03+03:00

qwelly [4]3 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.