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Co-terminal angles are angles that share the same terminal side when drawn in standard position. This occurs because angles can be formed by adding or subtracting full rotations, which is 360 degrees (or (2\pi) radians). Since you can continuously add or subtract these full rotations, there are infinitely many angles that can be co-terminal with a given angle. For example, an angle of 30 degrees is co-terminal with angles like 390 degrees (30 + 360) and -330 degrees (30 - 360).
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Why are there an infinite number of angles that are co terminal to a certain angle?
There are an infinite number of angles that are coterminal with a given angle because coterminal angles differ by full rotations. Specifically, for any angle ( \theta ), you can find coterminal angles by adding or subtracting multiples of ( 360^\circ ) (or ( 2\pi ) radians). This means that ( \theta + 360^\circ n ) (where ( n ) is any integer) will always result in an angle that shares the same terminal side as ( \theta ), leading to an infinite set of such angles.
What is the angles of rotational symmetry for a circle?
A circle has an infinite number of angles of rotational symmetry.
Are all vertical angles supplementary?
No. All vertical angles will add to an infinite number of degrees, not just 180!
What is a geometric figure that shows all possible angles?
The number of all possible angles is infinite and no figure can show them all.
Are there any figures besides a circle that has an infinite number?
I may be wrong, but since a an oval has no sides, like a circle, then it should have and infinite number. I think any shape that has no sides, angles, corners, etc. has an infinite number. (This applies to 2D figures)
Why are there an infinite number of angles that are co terminal to a certain angle?
There are an infinite number of angles that are coterminal with a given angle because coterminal angles differ by full rotations. Specifically, for any angle ( \theta ), you can find coterminal angles by adding or subtracting multiples of ( 360^\circ ) (or ( 2\pi ) radians). This means that ( \theta + 360^\circ n ) (where ( n ) is any integer) will always result in an angle that shares the same terminal side as ( \theta ), leading to an infinite set of such angles.
What angle is coterminal with 30 degrees?
An angle that is coterminal with 30 degrees can be found by adding or subtracting multiples of 360 degrees. In this case, an angle coterminal with 30 degrees could be 390 degrees (30 + 360) or -330 degrees (30 - 360). Coterminal angles have the same initial and terminal sides, but may differ in number of rotations around the unit circle.
What is the angles of rotational symmetry for a circle?
A circle has an infinite number of angles of rotational symmetry.
How many chords can be drawn through one pint in a circle?
An infinite number, because the number of angles available is infinite.
Is there an infinite number of possible central angles in a circle?
Yes.
What is the sum of exterior angles of a oval?
An oval has no exterior angles (or an infinite number depending on your point of view !)
How many angles does the oval shape have?
An oval has no exterior angles(or an infinite number depending on your point of view!)
What are the two complementary angles?
There is an infinite number of complementary angles. Complementary angles are all angles that add up to 90 degrees, such as two 45 degree angles.
Are all vertical angles supplementary?
No. All vertical angles will add to an infinite number of degrees, not just 180!
What is a geometric figure that shows all possible angles?
The number of all possible angles is infinite and no figure can show them all.
Are there any figures besides a circle that has an infinite number?
I may be wrong, but since a an oval has no sides, like a circle, then it should have and infinite number. I think any shape that has no sides, angles, corners, etc. has an infinite number. (This applies to 2D figures)
How many angles may be plotted on the circumference of a circle 30 inches in diameter?
The size of the circle is immaterial, there are an infinite number of plottable angles.
