![]() X = 95 and y = 85, we can tell that 85 is the acute angle because it is the angle that is less than 90 degrees. This means that whenever you see the word supplement, you can replace it with the mathematical expression (180 - A). Now that we have solved for the two angles: Now that we have solved for y, we can plug in the value of 85 for y into the second equation (x-y = 10) to get (x-85 = 10) We can then solve for x to get x = 95. The two angles can be part of the same or different figures. These two angles are called supplements of each other. Complementary angles are two angles that add up to exactly 90 90. Now that we have that, we can plug in "10+y" for the x in the first equation to get: Supplementary angles refer to the pair of angles that always sum up to 180°. ![]() To solve the system of equations, let's first solve for x in the second equation (you can solve for y as well, whichever makes it easier for you). In Mathematics, the definition of supplementary is related to angles that are combined and together make a straight angle. We also know that the difference between these two angles is 10 degrees. Let's call the angles angle x and angle y, so that x + y = 180 degrees. These two angles are called supplements of each other. Although the measure of an angle in a straight line measures 180 degrees, it is not considered a supplementary angle since it does not appear in pairs. ![]() These angles always come in pairs, so one angle is the supplement of another angle. The definition of supplementary angles is that the two angles add up to 180. Supplementary angles refer to the pair of angles that always sum up to 180. Supplementary angles are pairs of angles such that the sum of their angles is equal to 180 degrees.
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