How To Determine A Pentagon’S Missing Outer Angle?

The exterior angle of a regular pentagon can be calculated using the formula: Exterior angle of a regular polygon = 360° ÷ n, where n represents the number of sides. The missing angle can be calculated as x = 360 5 = 72 ∘ x = 5360 = 72∘. The sum of the exterior angles of any regular pentagon equals 360°.

To calculate the measure of individual exterior angles, divide 360° by the number of exterior angles. For example, if there are five exterior angles in a pentagon, each must equal 72°. The formula for calculating each exterior angle is: Exterior Angle = 360°/n = 360°/5 = 72°.

The sum of exterior angles of a regular pentagon is always 360 degrees. To find the missing exterior angle of a convex pentagon, divide the total possible angle by 5 to determine the value of one interior angle. The missing exterior angle of the convex pentagon measures 73 degrees, which can be calculated by subtracting the sum of the given exterior angles.

The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 – 108 = 72. This helps in finding the missing angles in a regular pentagon.