the sum of the measure of three angles of a hexagon is 330°. if the remaining angles have equal measure find the measure of each of the remaining angles
Answer (1)
The measure of each of the remaining angle is 130°.First, let's calculate the sum of the interior angle of a hexagon with this formula:sum = (n-2) x 180We know that a hexagon has six sides so we'll substitute n for 6sum = (6-2) x 180sum = 4 x 180sum = 720Now that we have the sum of the interior angle, we'll subtract it by 330720-330=390It says that 330 is the measure of 3 angles, since a hexagon has 6 angles, that means 390 is the measure of the other 3 angles.Since the remaining 3 angles are equal we divide 390 by 3380 ÷ 3 = 130Therefore, the measure of the remaining angles are 130°.
