Similar to supplementary angles, a common term used in geometry are complementary angles. Therefore, we can say that there may be a pair of supplementary angles that are not adjacent to each other. However, it may also be noted that these two angles are not adjacent angles. Therefore, the angles ∠ ABC and ∠ PQR are supplementary angles. if we find ∠ ABC + ∠ PQR, we will see that In the above figure, we can see that ∠ ABC = 60 o while ∠ PQR = 120 o The angle formed by a straight line is always equal to 180 oįor example, let us consider the below figure Let us recall what do we mean by a straight line and what does it form?Ī straight line is an infinite length line that does not have any curves on it. This means that the angles, 130 o and 50 o, since their sum are 180 o, therefore the angle 130 o is the supplement of 50 o and vice versa.īefore moving ahead with the concept of supplementary angles, it is important to recall two other important concepts in geometry, namely, straight line and adjacent angles. when two angles are supplementary angles, they are said to be supplements of each other. When the sum of two angles is 180 o, i.e. Together, the supplementary angles form a straight line. For example, two angles, 130 o and 50 o are supplementary because their sum, 130 o + 50 o = 180 o. Two angles are said to be supplementary if their sum is 180 o. Therefore, the combination of these two words means “something when supplied to complete a thing”. So, how do we define supplementary angles? Let us find out. Here, the word “Supplere” means “supply”, while the meaning of the word “Plere” is “fill”. The word “supplementary” has been derived from two Latin words “Supplere” and “Plere”. Where did this term supplementary come from? The Origin of the word Supplementary Let us understand what supplementary angles are all about.īefore we look into the concept of supplementary angles, let us first understand the meaning of the term supplementary. One of the important terms in geometry is supplementary angles. Depending upon the placement of the angles, there may be adjacent angles, opposite angles, corresponding angles, alternate angles and so on. Similarly, a pair of angles can be complementary angles or supplementary angles depending upon their sum. For example, an angle may be a right angle, an acute angle or an obtuse angle, depending upon the angle it makes with a straight line. In geometry, different names are given to different angels and their combinations depending upon the type of angles they make. Adjacent Angles and Supplementary Angles. Resource ExamplesĬlick any of the example images below to view a larger version. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience. These are ready-to-use Common core aligned Grade 7 Math worksheets.Įach ready to use worksheet collection includes 10 activities and an answer guide. This is a fantastic bundle which includes everything you need to know about Understanding Supplementary, Complementary, Vertical and Adjacent Angles across 15+ in-depth pages. Understanding Supplementary, Complementary, Vertical and Adjacent Angles Worksheets Vertical Angles are a pair of nonadjacent angles formed by two lines crossing each other.Īdjacent angles are angles that share the same vertex and lie on the same side but do not overlap. These are angles that form a corner that measures 90 degrees. Thus, if you have 2 angles that are equal to 180 degrees when added together, you have supplementary angles.Ĭomplementary angles are angles, as the name itself, complement each others. Linear pair has an angle that measures 180 degrees. Supplementary Angles are angles that form a straight line or what we call a linear pair. In this worksheet, we will tackle four pairs of angles namely: supplementary, complementary, vertical and adjacent angles. When two straight lines crossed each other, they form pairs of angles. The concept of angles is very important because it is associated in all geometric figures with corners and in all parallel lines crossing each other. In Geometry, angle defined as a figure formed by the two rays that meet at one common endpoint.
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