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Given a shape as such... ______________________________________ / A=72 B=65 \ \ / \_C=105__________________D=110_______/ (sorta) You take the interior angles that you have and subtract them from 360 to get their supplementary angles, which would be the measure of the outside angles corresponding to the interior angles Measure of <A= 72- so 360- 72=288*; so the measure of the exterior angle corresponding to <A is 288* You can do the same thing for the rest of the angles in the polygon. Hope it helps...
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How can you determine the sum of the exterior angles of a given polygon?
You can do it by memorizing this statement:" The sum of the exterior angles of every polygon is 360 degrees. "
What are the interior and exterior angles of a regular 18 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=18, then the answer is that the interior angle = 160The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 18, then the answer is that the exterior angle = 20
If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles how many sides does it have?
sum of exterior angles in a polygon is always equal to 3600,sum of all the interior angles is given by (n-2)1800, where n is the number of sides of the polygon.According to the question,(n-2)1800=2(3600)n-2=4so n=6answer:6
What is the interior and exterior angle of a regular 9 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=9, then the answer is that the interior angle = 140The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 9, then the answer is that the exterior angle = 40
What is the sum of interior angles of a icosagon?
That will depend on what type of isogon it is because an isogon is the name given to any regular polygon whose interior angles are equal.But in the general: (n-2)*180 = sum of interior of any polygon whereas 'n' is the number of sides of the polygon.
What is the relationship between interior angles and the sum of the exterior angles of a given polygon?
There isn't one. The sum of the exterior angles is always 360 degrees, the sum of the interior angles varies depending on the number of sides.
What is the sum of the interior angles if the exterior angles are 24?
The sum of the exterior angles is 360°; for a regular polygon this gives:sum_exterior_angles = number_of_sides × exterior_angle = 360°→ number_of_sides = 360° ÷ exterior_angle = 15For any polygon, the sum of the interior angles is given by:sum_interior_angles = (number_of_sides - 2) × 180°→ sum_interior_angles = (15 - 2) × 180°→ sum_interior_angles = 13 × 180° = 2340°This can be checked since: 2340° ÷ 15 = 156° for the interior angle of a regular 15 sided polygon, andinterior_angle + exterior_angle = 180°→ exterior_angle = 180° - interior_angle→ exterior_angle = 180° - 156° = 24° (as given in the question).
What is the rule for finding out the sum interior angle of a polygon?
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
What is the exterior angle of a regular dodecagon?
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
What is the name of the regular polygon whose exterior angles are twice its exterior angles?
If you mean exterior angle is twice its interior angle then an equilateral triangle will fit the given description because each interior angle is 60 degrees and each exterior angle is 120 degrees
How can you determine the sum of the exterior angles of a given polygon?
You can do it by memorizing this statement:" The sum of the exterior angles of every polygon is 360 degrees. "
What are the interior and exterior angles of a regular 18 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=18, then the answer is that the interior angle = 160The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 18, then the answer is that the exterior angle = 20
What is the sum of the angles of a pentagon?
For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.
If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles how many sides does it have?
sum of exterior angles in a polygon is always equal to 3600,sum of all the interior angles is given by (n-2)1800, where n is the number of sides of the polygon.According to the question,(n-2)1800=2(3600)n-2=4so n=6answer:6
The angles of a triangle that are not adjacent to a given exterior angle?
Remote interior angles
What is sum of the interior angles of a polygon with three sides?
the sum of the interior angles of a 3 sided polygon is = 180 degrees. the sum of the interior angles of any polygon is given by 540/n. in this case n is = 3
