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What are the characteristics of polygons?
A polygon is any plane figure bounded only by straight lines. A triangle is therefore a polygon with three sides and a pentagon is a polygon with five sides. A convex polygon has no interior angle greater than 180° . A re-entrant polygon has at least one interior angle greater than 180° . A regular polygon has all its sides and angles equal. The sum of the interior angles of a polygon is 2n - 4 right angles (n is the number of sides). The sum of the exterior angles of a convex polygon is 360° .
If the sum of the interior angles of a regular polygon is 540 degrees how many sides does this polygon have?
Where n is the number of sides of a regular polygon, the sum of the internal angles is equal to (n - 2) x 180. In the case of a pentagon, this is equal to (5 - 2) x 180 = 3 x 180 = 540 degrees.Therefore, the number of sides the polygon would have is 5.
What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?
There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.
What polygon has 5 unequal sides?
"What polygon has 5 unequal sides?" An irregular pentagon is a polygon that has 5 unequal sides.
The sum of the interior angles of a polygon is 540 degrees How many sides does this polygon have?
We use the formula that the sum is 180(n-2) where n is the number of sides. So 540=180(n-2)540/180-n-23=n-2so n=5 and it is a pentagon.(5 sides)
