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Can a exterior angle be found through the use of complementary angles?
false but You can find the measure of an exterior angle by using supplementary angles.
If an interior angle of a regular polygon is 168 degrees what is the name of the polygon?
It is a triacontagon, or 30-sided shape.The formula for one interior angle of a regular n-sided polygon is 180(n-2)/nwhere 180 (28) / 30 = 168*You can QUICKLY and EASILY find the answer using the formula for one exterior angle : it is 360/n360/30 = 12 and the interior angle is 180-12 = 168.The algebraic equation is(180-168) n = 360
How do you solve 16.5 degree using complementary angle?
73.5+16.5 = 90 degrees which is a complementary angle
When given all three side lengths of a triangle but none of the angle measures you can solve for all angle measures using .?
With trigonometry by using the cosine rule
What is the interior angle of a pentagon?
The measurement of an interior angle of a pentagon depends on whether the pentagon is a "regular pentagon". The sum of the measures of the interior angles of any polygon can be calculated using the formula (n-2)180, where n = the number of sides. If the pentagon is a regular pentagon, then all of the interior angles are congruent (i.e. : 144 degrees). Interior angle is the inside angle of any angular object. A triangle for instance has three outside angles and three interior angles, the angles of the points from the inside.
Would Without using a protractor what info would you need to get the measure of an exterior angle?
You would need to know the interior angle because 180-interior angle = exterior angle
What is the interior and exterior angle for a regular decagon?
A decagon is a polygon with 10 sides. By using the interior and exterior postulates, you can find the angle measures, which happen to be 144 and 36 degrees respectively.
What is the interior and exterior angle of a 18 sided shape?
For an 18-sided polygon (octadecagon), the formula to calculate the interior angle is ((n-2) \times 180° / n), where (n) is the number of sides. Substituting (n = 18), the interior angle is ((18-2) \times 180° / 18 = 160°). The exterior angle can be found using the formula (360° / n), which gives (360° / 18 = 20°). Therefore, each interior angle is 160° and each exterior angle is 20°.
What is the interior and exterior angle a regular 10 sided polygon?
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
What is the size of the exterior and interior angles of a regular 18-sided polygon.?
In a regular 18-sided polygon, the measure of each interior angle can be calculated using the formula ((n-2) \times \frac{180^\circ}{n}), where (n) is the number of sides. For an 18-sided polygon, each interior angle is ( \frac{(18-2) \times 180^\circ}{18} = 160^\circ). The exterior angle, which is supplementary to the interior angle, measures (180^\circ - 160^\circ = 20^\circ). Thus, each interior angle is 160 degrees, while each exterior angle is 20 degrees.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
What is the name of the shape that has 12 degrees as its exterior angle?
The shape with an exterior angle of 12 degrees is a dodecagon, which is a polygon with 12 sides. The exterior angle of a regular polygon can be calculated using the formula (360/n), where (n) is the number of sides. For a dodecagon, (360/12 = 30) degrees for each interior angle, which corresponds to 12 degrees for the exterior angle. Thus, the shape is indeed a dodecagon.
What is interior and exterior angle in polygon?
In a polygon, an interior angle is formed by two adjacent sides inside the polygon, while an exterior angle is formed between one side of the polygon and the extension of an adjacent side. For any polygon, the sum of the interior angles can be calculated using the formula ((n - 2) \times 180^\circ), where (n) is the number of sides. Conversely, the sum of the exterior angles of any polygon is always (360^\circ), regardless of the number of sides.
Can a exterior angle be found through the use of complementary angles?
false but You can find the measure of an exterior angle by using supplementary angles.
How many sides does a regular polygon have if the measure of one interior angles is 144?
interior angle = (sides - 2) * 180 / sides sides * interior angle = 180 * sides - 360 sides * (interior angle - 180) = -360 sides = -360 / (interior angle - 180) sides = 360 / (180 - interior angle) So, for 144 degrees: sides = 360 / 36 = 10
How many diagonals does a regular polygon have when an interior angle is 157.5 degrees?
Exterior angle: 180-157.5 = 22.5 degrees Number of sides: 360/22.5 = 16 Using the diagonal formula: 0.5*(162-48) = 104 diagonals
What is the measurement of the exterior angle of a docecagon?
The exterior angle of a dodecagon (a polygon with 12 sides) can be calculated using the formula for the exterior angle of a regular polygon, which is ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a dodecagon, ( n = 12 ), so the exterior angle is ( \frac{360^\circ}{12} = 30^\circ ). Therefore, each exterior angle of a regular dodecagon measures 30 degrees.
