# How Do I Find The Complement And Supplement Of An Angle?

Complementary angles add to 90 degrees. Supplementary angles add to 180 degrees.

To find the complement of an angle, subtract its measure from 90 degrees.
To find the supplement of an angle, subtract its measure from 180 degrees.

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Complement   subtract 90 from measure

supplement   subtract 180 from measure
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Oddman commented
So, the complement of 30 is 30 - 90 = -60?
I suspect you have it backwards. It should be subtract measure from 90.
A complimentary angle is between 0º and 90º so to find the compliment of an angle you have to say for example:

Find the compliment of 6º, it is acute. (because 6º is acute)
Find the compliment of 80º, it is also acute.

Then the supplement of an angle is between 90º & 180º so to find the supplement of an angle you do this for example:

Find the supplement of 105º, it is Obtuse (because 195º is obtuse)
Find the supplement of 200º, it is also obtuse.

I hope this helps - I'm only in year 7!!!
thanked the writer.
Oddman commented
A "complimentary" angle would be one that is free or one that pays you a compliment.

A complementary angle is one that makes the sum 90 degrees. The complement of 145 degrees, for example, is -55 degrees. There is no requirement that the angle be acute for it to have a complement. Likewise, a supplementary angle is one that makes the sum 180 degrees. The supplement of 105 degrees is 75 degrees (an acute angle), for example. The supplement of 200 degrees is -20 degrees.
Um I  hope is don't get this wrong....

Here r the steps....
1-Pray
2-you will see why
3-Guess
4-get it right
5-or wrong
6-argue with your teacher that it is right
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Isaac Tate commented
Oh my gosh. That is a very good tip. 