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What is the difference between complementary and supplementary angles?
Complementary angles add up to one right angle (90 degrees), such as 30 degrees and 60 degrees. Supplementary angles add up to a straight angle, which is 2 right angles (180 degrees). So the supplement of a 30 degree angle is 150 degrees. For any given angle, its supplement is 90 degrees greater than its complement.
Can two complementary angles both be acute?
They MUST both be acute.Two angles are complementary if their sum is 90 degrees. Therefore, neither of them can be greater than 90 degrees and so they are acute.
What is the complement of 106 degrees?
Complementary angles total 90 degrees. Since 106 is greater than 90, it doesn't have a complement.
Can a obtuse angle have a complement?
No because complementary angles add up to 90 degrees and an obtuse angle is greater than 90 degrees.
Is an acute angle and an obtuse angle sometimes always or never complementary?
Two angles are complementary when they add up to exactly 90 degrees. An obtuse angle is by definition greater than 90 degrees. Therefore, an obtuse angle cannot have a complementary angle. So an obtuse angle and an acute angle are never complementary.
Can an obtuse angle be both complementary and supplementary?
No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.
How much greater is the sum of the measures of a pair of supplementary angles than the sum of the measures of a pair of copplementary angles?
Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. So the answer is 90 degrees greater.
What is the difference between complementary and supplementary angles?
Complementary angles add up to one right angle (90 degrees), such as 30 degrees and 60 degrees. Supplementary angles add up to a straight angle, which is 2 right angles (180 degrees). So the supplement of a 30 degree angle is 150 degrees. For any given angle, its supplement is 90 degrees greater than its complement.
What angle equals to 104 degrease?
An angle that equals 104 degrees is simply referred to as a 104-degree angle. It does not have a specific name beyond its measurement. In terms of complementary or supplementary angles, the angle that complements it would be 76 degrees (90 - 104), and the supplementary angle would be -16 degrees (180 - 104), which indicates that 104 degrees is already greater than 90 degrees and cannot have a positive supplementary angle.
What are the 5 classification of the angles?
Angles can be complementary, supplementary, alternate, corresponding, perpendicular ..... etc but there are only 4 main angles which are as follows:- Acute angle is greater than 0 but less than 90 degree Right angle is 90 degrees Obtuse angle is greater than 90 but less than 180 degrees Reflex angle is greater than 180 but less than 360 degrees which is a complete revolution
Is a right angle and an obtuse angle always supplementary?
No. In fact, they never are. A right angle by definition is 90 degrees. An obtuse angle is any degree greater than 90. In order for two angles to be supplementary, they must equal 180 degrees. Because an obtuse angle is always greater than 90 degrees, and a right angle is always 90 degrees, an obtuse angle and a right angle can never be supplementary.
Do supplementary angles have to be obtuse?
No, supplementary angles do not have to be obtuse. By definition, supplementary angles are two angles whose measures add up to 180 degrees. This means one or both angles can be acute (less than 90 degrees) or one can be obtuse (greater than 90 degrees), as long as their sum equals 180 degrees.
Can two complementary angles both be acute?
They MUST both be acute.Two angles are complementary if their sum is 90 degrees. Therefore, neither of them can be greater than 90 degrees and so they are acute.
Can one of two complementary angles be obtuse?
No, one of two complementary angles cannot be obtuse, because only two acute angles that add up to 90 degrees are complementary and that an obtuse angle on its own is greater than 90 degrees.
What is the complement of 106 degrees?
Complementary angles total 90 degrees. Since 106 is greater than 90, it doesn't have a complement.
Can a obtuse angle have a complement?
No because complementary angles add up to 90 degrees and an obtuse angle is greater than 90 degrees.
Is an acute angle and an obtuse angle sometimes always or never complementary?
Two angles are complementary when they add up to exactly 90 degrees. An obtuse angle is by definition greater than 90 degrees. Therefore, an obtuse angle cannot have a complementary angle. So an obtuse angle and an acute angle are never complementary.
