the sum of a polygon with(2n-3) sides is 62 righht angles
To find the sum of the interior angles of a polygon, we can use the formula: sum = (n-2) * 180°, where n is the number of sides of the polygon.
In this case, we are given that the sum of the polygon's angles is 62 right angles. One right angle is equal to 90°.
Let's set up the equation:
sum = (n-2) * 180°
62 right angles = 62 * 90° = 5580°
Now, we can rewrite the equation:
5580° = (2n-3 - 2) * 180°
Simplify the equation:
5580° = (2n - 5) * 180°
Divide both sides of the equation by 180°:
31 = 2n - 5
Add 5 to both sides:
36 = 2n
Divide both sides by 2:
n = 18
Therefore, the polygon has 18 sides.
a 33-gon has a sum of angles = 31 straight angles = 62 right-angles.
2n-3=33
n=18