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41 votes
41 votes
50 points find x
Please help

50 points find x Please help-example-1
User Omry Zobel
by
2.7k points

1 Answer

18 votes
18 votes

Answer:

x = 17

Explanation:

The dash on each side means that all side lengths are equal in length.

Therefore, the shape shown is a regular polygon (hexagon).

Exterior angle of a regular polygon = 360 ÷ number of sides

⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°

Therefore,

4x - 8 = 60

Add 8 to both sides:

⇒ 4x = 68

Divide both sides by 4:

⇒ x = 17

User Darethas
by
2.7k points