Calculate the sum of the interior angles of the following (a)a triangle (b)a quadrilateral (c)a heptagon
(a) A triangle has three interior angles. The sum of the interior angles of a triangle is always 180 degrees. So, the sum of the interior angles of a triangle is 180 degrees.
(b) A quadrilateral has four interior angles. The sum of the interior angles of a quadrilateral is always 360 degrees. So, the sum of the interior angles of a quadrilateral is 360 degrees.
(c) A heptagon has seven interior angles. The formula to find the sum of the interior angles of a polygon with n sides is (n-2) x 180 degrees. Therefore, the sum of the interior angles of a heptagon is (7-2) x 180 degrees = 5 x 180 degrees = 900 degrees. So, the sum of the interior angles of a heptagon is 900 degrees.
Sure! I can help you with that. The sum of the interior angles can be calculated using the following formula:
Sum of interior angles = (n - 2) * 180 degrees
(a) For a triangle (n = 3), the sum of the interior angles would be (3 - 2) * 180 = 180 degrees.
(b) For a quadrilateral (n = 4), the sum of the interior angles would be (4 - 2) * 180 = 360 degrees.
(c) For a heptagon (n = 7), the sum of the interior angles would be (7 - 2) * 180 = 900 degrees.
Therefore, the sum of the interior angles for (a) a triangle is 180 degrees, (b) a quadrilateral is 360 degrees, and (c) a heptagon is 900 degrees.