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Answer :
Final answer:
Angle B measures 108 degrees.
Therefore, the correct option is B.
Explanation:
To calculate the measure of angle B in the six-sided polygon ABCDEF, we use the fact that the sum of the interior angles of any n-sided polygon is given by the formula (n-2)×180 degrees.
Since we are provided with a six-sided polygon (hexagon), the sum of the interior angles will be (6-2)×180 = 4×180 = 720 degrees.
We are given the measures of five of the six interior angles:
Angle A = 170 degrees
Angle C = 133 degrees
Angle D = 102 degrees
Angle E = 117 degrees
Angle F = 90 degrees
To find the measure of angle B we subtract the sum of the given angles from the total sum of the interior angles.
Therefore, the measure of angle B is:
720 degrees - (170 + 133 + 102 + 117 + 90) degrees = 108 degrees.
So, the measure of angle B is 108 degrees.
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