# How to Find Complementary & Supplementary Angles Using Two Radians

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Finding complementary and supplementary angles with two radians will require you to take a closer look at your coordinate system. Find complementary and supplementary angles for two radians with help from an experienced math professional in this free video clip.

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## Video Transcript

H,i I'm Ryan Ault. I'm a physicist and this is how to find complementary and supplementary angles two radians. Now if we look at our coordinate system here we find that we have four angles marked, x, y, q, and v. If we examine a complementary angle, all it is is an angle that is 90 degrees. And it's formed by two other angles. So we can write that x plus y is a complementary angle and it's equal to 90 degrees which is equal to pi over two. So if we were given that x is equal to 45 degrees we could find that y is equal to 90 minus x. So y is also equal to 45 degrees. Now if we want to examine supplementary angles, these are ones that add to 180 degrees. So we can find that q, which is 90, and v, which is 90 q plus v equal 180 degrees which is equal to just pi. Now in this example, if v happened to be 90 degrees, which it is, based on the drawing, we find that q is also equal to 90 degrees. Now it doesn't seem so useful in this example. If we had something different though, where q is actually 130 degrees, we would find that v is simply 180 minus 130 or 50 degrees. I'm Ryan Ault and this is how to find complementary and supplementary angles using two radians.

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