The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the largest exterior angle?
90°
80°
75°
85°
done
To find the measure of the largest exterior angle of a polygon, you can use the following formula:
Largest Exterior Angle = 360° / Number of Sides
In this case, we are given the measure of 6 interior angles of a heptagon (a polygon with 7 sides). To find the measure of the largest exterior angle, we need to subtract each given interior angle from 180° (since the sum of an interior and its corresponding exterior angle is always 180°).
Let's calculate:
Sum of the given interior angles = 120° + 150° + 135° + 170° + 90° + 125° = 790°
Number of sides of a heptagon = 7
Largest Exterior Angle = (360° / 7) = 51.43° (rounded to the nearest degree)
Therefore, the measure of the largest exterior angle is approximately 51°. None of the provided answer choices match the calculated result, so there seems to be an error in the given options.