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# polygon

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Solve for x in the picture below.

Mar 17, 2021

#1
+141
+1

this is a hexagon (six sides). so the sum of all the interior angles would be \((6-2)*180 = 720\).

since all of the angles given are on straight angles, we can just subtract that angle measure from 180, to get the interior angle measure.

180 - 95 = 85

180 - 62 = 118

180 - 47 = 133

180 - 45 = 135

180 - 33 = 147

now let's sum all of these together.

85 + 118 + 133 + 132 + 147 = 615

to find the missing angle measure, let's subtract 615 from 720 (the total sum of all the interior angles).

720 - 615 = 105.

so now we know 180 - (2x + 4) = 105.

180 - 2x - 4 = 105

176 - 2x = 105

-2x = -71

x = 71/2 = 35.5

hope this helped! please let me know if you are confused about anything i did

Mar 17, 2021

#1
+141
+1

this is a hexagon (six sides). so the sum of all the interior angles would be \((6-2)*180 = 720\).

since all of the angles given are on straight angles, we can just subtract that angle measure from 180, to get the interior angle measure.

180 - 95 = 85

180 - 62 = 118

180 - 47 = 133

180 - 45 = 135

180 - 33 = 147

now let's sum all of these together.

85 + 118 + 133 + 132 + 147 = 615

to find the missing angle measure, let's subtract 615 from 720 (the total sum of all the interior angles).

720 - 615 = 105.

so now we know 180 - (2x + 4) = 105.

180 - 2x - 4 = 105

176 - 2x = 105

-2x = -71

x = 71/2 = 35.5

hope this helped! please let me know if you are confused about anything i did

idyllic Mar 17, 2021