What Are Adjacent Angles What Are Adjacent Angles In this unit we are going to learn about What are Adjacent Angles. Let us first see what an angle is about. We know that if we have the two rays, starting from the same point are called angles. The angles can be classified as follows: Acute angle: The angle which has the measure between 0 degrees and 90 degrees. Right angle: The angle which has the measure of 90 degrees. Obtuse angle : The angle which has the measure between 90 degrees and 180 degrees. Straight angle : The angle which has the measure of 180 degrees. Reflex angle: The angle which is greater than 180 degrees and less than 360 degrees is called reflex angle. Complete Angle: The angle which forms the complete circle, i.e. its measure is 360 degrees is called a complete angle.
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Now we discuss about ADJACENT ANGLES: When we have two angles such that It has one common arm and the common arm lies between the two uncommon arms, then such pair of angles is called the adjacent angles. Two adjacent angles also have a common vertex. We say vertex is the point where the two rays meet to form the angle. We can also say that the two angles in a plane which share a common vertex and a common side but it does not overlap at all are called the adjacent angles. In case we look at the closed polygon, the term adjacent differs from the definition mentioned above. We say that in the closed figure, Adjacent angles refers to a pair of angles which we find are sharing a common vertex which exist between the two line segments and sides of it we found still don't overlap each other. When we talk about the polygons, we can see the two angles of the closed figure, which surely does not have a common vertex, but have the vertex next to each other. So we can say that while referring to polygons, two interior angles that share a common side are also called adjacent angles or adjacent interior angles. In other words, they share an angle next to each other. Here we can add by saying that the adjacent angles of the parallelogram are supplementary, which means the two angles of the parallelogram which share one of the same side of the figure which are called the pair of adjacent angles are supplementary. So we conclude that the sum of the adjacent angles is 180 degrees. In case of squares and the rectangles, we say that the adjacent angles of these figures are equal.
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Also these figures are also having the opposite angles equal, as they are types of parallelogram. So we conclude that all angles of square and rectangles are equal. So each angle is 90 degree. If we have two adjacent angles, which join together to form a sum of a 180 degrees, then the sum of the two angles form a supplementary angles and we call it a linear pair. Thus in such case two adjacent angles combined together to form a straight line. Sometimes, when the two adjacent angles form the sum of 90 degree are called the pair of complementary angles. So it forms a right angle in such a case.
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