![]() How to Find Supplementary Angles The two angles form a linear angle, such that, if one angle is x, then the other the angle is 180 x. In other words, if two angles add up, to form a straight angle, then those angles are referred to as supplementary angles. Spherical Geometry Triangle Angle Sum Theorem. When the sum of two angles is 180, then the angles are known as supplementary angles. So remember that when you're trying to evaluate your problems that supplementary sum to 180 degrees or they're linear and complementary angles sum to 90 degrees. If two angles form a linear pair, then they are supplementary. So notice that for a supplementary and for complementary you can't say that five angles are complementary but we're always talking about pairs or two's. Now, a supplementary pair could be angle 4 and angle 5 which are adjacent and they are linear. So complementary angles could be angles 1 and 2. Here we have five angles 1, 2, 3, 4 and 5 and we're told that this angle 3 is 90 degrees, now one thing that you can assume is that 1, 2 and 3 are all linear, so if you add up 1, 2 and 3 it would be 180 degrees, which means that 1 and 2 must also sum to 90 degrees so I could label this as a right-angle. Let's look at a specific example where you might be asked to identify supplementary angles and complementary angles. The same is true for complementary angles. A common case is when they lie on the same side of a straight line. But I could also say if we had some angle here that we said three and let's say 3 was equal to 60 degrees and I had some other angle over here, let's say angle four was equal to 120 degrees, I could say that these two angles three and four are supplementary because they sum to 180 degrees. Supplementary angles are two angles with a sum of 18 0 180 circ 180180, degrees. So supplementary angles could be adjacent so if I had angles one and two those two would be supplementary. Examples of extra angles in the actual world include stars, cups, and logos. And I noted here that these do not have to be adjacent. Supplementary angles are formed when the sum of two angles equals 180. Supplementary angles are two angles whose measures sum to a 180 degrees and complementary are the sum have to add up to 90 degrees. Two concepts that are related but not the same are supplementary angles and complementary angles. ![]()
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