There are many special relationships that can be developed using angles.

You are watching: An angle that has a supplement also has a complement

Here is a watch at two of the relationships.Supplementary angles are two angle that have a amount of 180°.
Complementary angles are two angles that have a sum of 90°.
There is one easy means to try and psychic these making use of the very first letters of each word.The S in supplementary have the right to be provided to type the 8 in 180.
The C in complementary deserve to be offered to form the 9 in 90.
If we understand that a collection of angles form one of these special relationships, we can determine the measure of the various other angle.Example #1: 43°To identify the supplement, subtract the given angle from 180.180 - 43 = 137°The complement of 43° is 137°.To identify the complement, subtract the offered angle indigenous 90.90 - 43 = 47°The match of 43° is 47°.Example #2: 61°180 - 61 = 119°The complement of 61° is 119°. 90 - 61 = 29°The match of 61° is 29°.Example #3: 127°180 - 127 = 53°The supplement of 127° is 53°.127° is already greater 보다 90°. Therefore, over there is no complement.Example #4: recognize the missing angle.
Notice the the two angles for a ideal angle once together. This way that the angles room complementary and also have a sum of 90°.
The missing angle steps 28 degrees.Example #5: identify the missing angle.
These 2 angles kind a directly line. Right lines measure 180°. That means that these 2 angles are supplementary.

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The lacking angle procedures 103 degrees.Let"s Review
Complementary angles type a best angle (L shape) and also have a amount of 90 degrees.Supplementary angles type a straight line and have a amount of 180 degrees.If the partnership is given, you can subtract the given angle from the amount to recognize the measure of the lacking angle.
 Related Links:Complementary and also Supplementary angle WorksheetsMath GeometryAngles