Introduction:
In mathematics, an angle is the branch of geometry which is defined as the two rays sharing a common endpoint to form the figure is the vertex of the angle. The amount of rotation is the magnitude of the angle that separates the two rays. For the geometric configuration and its angular magnitude the term "angle" is used. The word angle means "a corner" which is come from Latin. There are different types of angle in geometry.They are Right angle, Straight angles, acute angles, Obtuse angles, Complementary angle, Supplementary angles.
Conditions for determining an angle:
Let as assume the x be the variable for angle. Then,
Right angle
Right angle is the angle in which the value of angle is 90 degree.
If x = 90 degree, it is right angle.
Straight angle
Straight angle has the angle value as 0 degree.
If x = 0 degree, it is straight angle.
Acute angle
When the angle value is below 90 degree then it is acute angle.
If 0 < x < 90 degree, it is acute angle.
Obtuse angle
When the angle value is above 90 degree then it is obtuse angle
If x > 90 degree, it is obtuse angle.
Let as assume x and y are two angles. Then,
Complementary angle
The angles are called as complementary angle when the sum of the two angles is 90 degrees.
If x + y = 90 degree, it is Complementary angle.
Supplementary angle
The angles are called as Supplementary angle when the sum of the two angles is 180 degrees.
If x + y = 180 degree, it is Supplementary angle.
Understanding 6th grade math word problems with answers is always challenging for me but thanks to all math help websites to help me out.
Examples:
Example 1: find the type of angle for below values?
1. x = 10
2. x = 90
3. x = 300
Solution:
1. The given value is x = 10 degree.
It satisfy the condition 0 < x < 90.
Therefore, it is an acute angle
2. The given value is x = 90 degree.
It satisfy the condition x = 90.
Therefore, it is right angle.
3. The given value is x = 300 degree.
It satisfy the condition x > 90.
Therefore, it is an obtuse angle
Example 2: Check whether the angles are Complementary angle or Supplementary angles for given data below?
1. x = 30, y = 60
2. x = 80, y = 100
Solution:
1. x = 30, y = 60
x + y = 30 + 60
= 90
Therefore, it is Complementary angle.
2. x = 80, y = 100
x + y = 80 + 100
= 180
Therefore, it is Supplementary angle.
In mathematics, an angle is the branch of geometry which is defined as the two rays sharing a common endpoint to form the figure is the vertex of the angle. The amount of rotation is the magnitude of the angle that separates the two rays. For the geometric configuration and its angular magnitude the term "angle" is used. The word angle means "a corner" which is come from Latin. There are different types of angle in geometry.They are Right angle, Straight angles, acute angles, Obtuse angles, Complementary angle, Supplementary angles.
Conditions for determining an angle:
Let as assume the x be the variable for angle. Then,
Right angle
Right angle is the angle in which the value of angle is 90 degree.
If x = 90 degree, it is right angle.
Straight angle
Straight angle has the angle value as 0 degree.
If x = 0 degree, it is straight angle.
Acute angle
When the angle value is below 90 degree then it is acute angle.
If 0 < x < 90 degree, it is acute angle.
Obtuse angle
When the angle value is above 90 degree then it is obtuse angle
If x > 90 degree, it is obtuse angle.
Let as assume x and y are two angles. Then,
Complementary angle
The angles are called as complementary angle when the sum of the two angles is 90 degrees.
If x + y = 90 degree, it is Complementary angle.
Supplementary angle
The angles are called as Supplementary angle when the sum of the two angles is 180 degrees.
If x + y = 180 degree, it is Supplementary angle.
Understanding 6th grade math word problems with answers is always challenging for me but thanks to all math help websites to help me out.
Examples:
Example 1: find the type of angle for below values?
1. x = 10
2. x = 90
3. x = 300
Solution:
1. The given value is x = 10 degree.
It satisfy the condition 0 < x < 90.
Therefore, it is an acute angle
2. The given value is x = 90 degree.
It satisfy the condition x = 90.
Therefore, it is right angle.
3. The given value is x = 300 degree.
It satisfy the condition x > 90.
Therefore, it is an obtuse angle
Example 2: Check whether the angles are Complementary angle or Supplementary angles for given data below?
1. x = 30, y = 60
2. x = 80, y = 100
Solution:
1. x = 30, y = 60
x + y = 30 + 60
= 90
Therefore, it is Complementary angle.
2. x = 80, y = 100
x + y = 80 + 100
= 180
Therefore, it is Supplementary angle.
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