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Find the value of y if the figure is a regular polygon.

Find the value of y if the figure is a regular polygon.-example-1
User Vinutha Kumar
by
3.3k points

2 Answers

24 votes
24 votes

Answer:

y= 30°

Explanation:

y° +y°+y°+y°+y°+y°=180°

6y°=180°

y=30°

User DefyGravity
by
3.1k points
15 votes
15 votes

Answer:

y = 60

Explanation:

The exterior angles of a regular polygon add up to 360. Try drawing a square which has exterior angles = 90 degrees or an equilateral triangle which has an exterior angle of 120.

Formula is

Exterior angle = 360 / number of sides

number of sides = 6

Exterior angle = 360/6 = 60

x is the supplement of y

x + y = 180

x + 60 = 180 Subtract 60 from both sides

x = 180 - 60

x = 120

User Huu Phuong Vu
by
2.9k points