Answer:
402 degrees
Explanation:
Four angles of a heptagon are 118, 105, 140, and 135. The remaining angles are equal. Find the size of the whole angle
ChatGPT
A heptagon is a polygon with seven sides. The sum of all the angles in a heptagon can be calculated using the formula:
Sum of angles = (n - 2) * 180 degrees
where n is the number of sides of the polygon. In this case, n = 7.
Sum of angles = (7 - 2) * 180 degrees
Sum of angles = 5 * 180 degrees
Sum of angles = 900 degrees
We are given four angles of the heptagon: 118, 105, 140, and 135 degrees. Let's add them together to find the sum of these four angles:
118 + 105 + 140 + 135 = 498 degrees
To find the remaining angle, we subtract the sum of the four known angles from the sum of all angles:
900 - 498 = 402 degrees
Therefore, the remaining angle of the heptagon is 402 degrees.