0
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 1 to 4 how many sides does the polygon have?
If the ratio is 1:4 then exterior angle is 1/5 of a straight line, ie 36 deg and interior 180 - 36 ie 144 deg. The sum of exterior angles of any plane figure is 360 deg so there are 360/36 = 10 sides to the polygon. Check: Sum of interior angles of n-sided polygon is (2n - 4) right angles, ie in this case 16 x 90 = 1440 deg, making each interior angle 144 deg. QED
What else can I help you with?
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
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 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 interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
An interior angle of a polygon that is not adjacent to the exterior angle?
Ah...
What is formed by one side of a polygon and a line from the adjacent side?
An interior or exterior angle of the polygon.
An interior angle of a polygon and its adjacent exterior angle are complementary?
No, they are supplementary, not complementary.
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
Does the measure of an exterior angle at the vertex of a polygon equal the measure of the adjacent interior angle?
The sum of an adjacent interior and its exterior angle will total to 360°. If the angles were to be equal, they would both have to be 180°. An angle of 180° is a straight line. A polygon may be composed of straight lines that intersect at vertices but a straight line has no vertex. That being the case, the answer to your question is "No".
An interior angle of any polygon and its adjacent exterior angle are always?
equal to 180°
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
How do you find interior and exterior angles of an irregular polygon?
Measure them with a protractor
What are interior and extrior angles?
Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.
