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
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