supplementary angles
Supplementary angles are a pair of angles that add up to 180 degrees
Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles, and when you add their measures together, the total is 180 degrees, then these angles are considered supplementary to each other.
When two lines intersect, they form four angles at the intersection point. If two of these angles are supplementary, it means that they are adjacent angles that share a common vertex and side, and their non-shared sides form a straight line. For example, if one angle measures 80 degrees, then its supplementary angle would measure 100 degrees because 80 + 100 = 180.
Supplementary angles can also be formed by a transversal cutting through two parallel lines. In this case, if one angle formed by the transversal and either of the parallel lines is known, the supplementary angle can be easily determined.
Knowing that two angles are supplementary can help solve various mathematical problems, such as finding the measure of unknown angles, determining angles in geometric shapes, or using them in trigonometry to solve equations.
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