Carcass wrote:

Attachment:

#Grepracticequestion The figure above shows a regular 9-sides polygon.jpg

The figure above shows a regular 9-sides polygon. What is the value of X ?

Insert the valueUseful rule:

the sum of the angles in an n-sided polygon = (n - 2)(180°)So, the sum of the angles in an 9-sided polygon = (9 - 2)(180°) =

1260°Since we have a REGULAR 9-sides polygon, each interior angle is EQUAL

1260°/9 = 140°

So, each interior angle is

140°We get:

Since one of the

140° lies on the same line as angle x we know that the two angles add to 180°

We get" x° +

140° = 180°

Solve: x = 40°

Answer: 40

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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