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What is the measures of one exterior angle of a regular 18-gon?
The measure of one exterior angle of a regular 18-gon is 20°. The sum of all exterior angles of a regular polygon is always 360° so the measure of each exterior angle can be calculated by dividing 360° by the number of sides. In this case that would be: 360° 18 = 20°Therefore the measure of one exterior angle of a regular 18-gon is 20°.
What is the measure of one angle of a regular heptagon?
An exterior angle is 360/7 = 51.4286 degrees. So interior angle is 180 - exterior angle = 128.57 degrees (approx).
Example of measure of an exterior angle?
Consider a right triangle. One of the exterior angles 90 degrees.
What is the measure of one angle in the regular octagon?
Exterior angle: 45 degrees Interior angle: 135 degrees
What is the measure of one exterior angle of a regular quadralateral?
Each exterior angle of a square is 90 degrees and a square is a regular 4 sided quadrilateral
What is the measure of one exterior angle of a decagon?
Each interior angle of a decagon is 144 degrees.An exterior angle is 180 - measure of interior angle.There exterior angle of decagon is 180-144which is equal to-36
What would the measure of one exterior angle of a regular hexagon?
360/6 = an exterior angle of 60 degrees
What is the measures of one exterior angle of a regular 18-gon?
The measure of one exterior angle of a regular 18-gon is 20°. The sum of all exterior angles of a regular polygon is always 360° so the measure of each exterior angle can be calculated by dividing 360° by the number of sides. In this case that would be: 360° 18 = 20°Therefore the measure of one exterior angle of a regular 18-gon is 20°.
How do you find the number of sides a regular poly gon has by knowing the angles?
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
What is the measure of one angle of a regular heptagon?
An exterior angle is 360/7 = 51.4286 degrees. So interior angle is 180 - exterior angle = 128.57 degrees (approx).
Example of measure of an exterior angle?
Consider a right triangle. One of the exterior angles 90 degrees.
What is the measure of one angle in the regular octagon?
Exterior angle: 45 degrees Interior angle: 135 degrees
What is the measure of one exterior angle of a regular quadralateral?
Each exterior angle of a square is 90 degrees and a square is a regular 4 sided quadrilateral
What is the measure of each exterior angle one angle at each vertex of a regular hexagon?
60 degrees.
Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
Measures of an exterior angle of 20-gon?
Providing that it is a regular 20-gon then each exterior angle is 360/20 = 18 degrees
