Answer:
145∘
Explanation:
The sum of the interior angles of a heptagon (a seven-sided polygon) is given by the formula:
Sum of interior angles = (n − 2) × 180∘
where n is the number of sides (in this case, n = 7 for a heptagon).
Therefore, for a heptagon:
Sum of interior angles = (7 − 2) × 180∘ = 5 × 180∘ = 900∘
Now, you're given the measures of six angles: 100°, 160°, 120°, 115°, 140°, and 120°. Add these angles:
100 + 160 + 120 + 115 + 140 + 120 = 755∘
To find the measure of the seventh angle (n), subtract the sum of the given angles from the total sum of interior angles:
n = 900 − 755 = 145∘
Therefore, the measure of the seventh angle (n) is 145∘.