You are watching: An angle that has a supplement also has a complement
Here is a look at two of the relationships.Supplementary angles room two angles that have actually a sum of 180°.
Complementary angles space two angle that have actually a sum of 90°.
There is an easy way to shot and mental these utilizing the an initial letters of each word.The S in supplementary can be used to kind the 8 in 180.
The C in complementary can be offered to form the 9 in 90.
If we understand that a collection of angles type one that these unique relationships, we can determine the measure up of the other angle.Example #1: 43°To identify the supplement, subtract the given angle native 180.180 - 43 = 137°The complement of 43° is 137°.To determine the complement, subtract the provided angle from 90.90 - 43 = 47°The complement 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 complement of 127° is 53°.127° is already greater than 90°. Therefore, there is no complement.Example #4: identify the absent angle.
Notice the the two angles for a best angle once together. This means that the angles space complementary and have a amount of 90°.
The missing angle actions 28 degrees.Example #5: determine the absent angle.
These two angles type a straight line. Straight lines measure 180°. That method that these two angles are supplementary.
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The missing angle steps 103 degrees.Let"s ReviewComplementary angles form a best angle (L shape) and also have a amount of 90 degrees.Supplementary angles type a right line and also have a amount of 180 degrees.If the relationship is given, you can subtract the offered angle from the amount to identify the measure of the lacking angle.
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