What are complementary angles always?

Answer 1

Complementary angles are angles that always add to 90° (ninety degrees). They are usually adjacent to each other, however in theory do not have to be.

An example is:

Angle "a" is 38°, and is situated next to, or adjacent to Angle "b" which is 52°. In this case, both angles (38 and 52) sum to ninety degrees, which means Angle a is complementary with, or to, Angle b.

Another example is:

Angle "a" is 56°, and is situated next to, or adjacent to Angle "b" which is 43°. In this case, both angles (56 and 43) do not sum to ninety degrees, which means Angle a is not complementary with, or to, Angle b.

Complementary angles are studied in conjunction with supplementary angles (angles which sum to 180°) and angles at a point (angles which sum to 360°).

Note: There does not have to be only two angles (however this is the minimum requirement, because a ninety degree angle can't have a complement of 0°). There can be three, five, ten, twenty, or whatever number of angles you wish (remember, you are not limited to there being ninety one degree angles because angles can have decimal points too, i.e. 56.32°).

Hope this helped.

Answer 2

Complimentary angles measures 90 degrees.