Five of the interior angle of a hexagon are equal if the size of the sisth angle is 155,what is the size of each of the five equal angle
The sum of the angles is 720°.
(720 - 155) / 5 = ?
sum of interior angles of a hexagon
= 180(6-2) = 720 , from 180(n-2)
5x + 155 = 720
5x = 564
x = 113°
To find the measure of each of the five equal angles in a hexagon, you first need to determine the total sum of the interior angles of the hexagon.
A hexagon has six sides, so the total sum of its interior angles can be found using the formula:
Sum of interior angles = (6 - 2) * 180 degrees = 4 * 180 degrees = 720 degrees.
You are given that the size of the sixth angle is 155 degrees. Since all five of the other angles are equal, let's call each of these angles "x" degrees.
Now, we can set up an equation to solve for "x":
5x + 155 degrees = 720 degrees
Next, we can solve the equation:
5x = 720 degrees - 155 degrees
5x = 565 degrees
Dividing both sides by 5:
x = 565 degrees / 5
x = 113 degrees
Therefore, each of the five equal angles in the hexagon measures 113 degrees.