Vertically Opposite Angles Vertically Opposite Angles In geometry, a pair of angles is said to be vertical (also opposite and vertically opposite, which is abbreviated as vert. opp. ∠s[1]) if the angles are formed from two intersecting lines and the angles are not adjacent. The two angles share a vertex. Such angles are equal in measure and can be described as "equal" (in the UK or the USA) or "congruent" (in the USA). Vertical angle theorem :- When two straight lines intersect at a point, four angles are made. The non-adjacent angles are called vertical or opposite or vertically opposite angles. Also, each pair of adjacent angles forms a straight line and the two angles are supplementary.[3] Since either of a pair of vertical angles is supplementary to either of the adjacent angles, the vertical angles are equal in measure. Eudemus of Rhodes attributed the proof of this theorem to Thales of Miletus. According to a historical Note[4], when Thales visited Egypt, he observed that whenever the Egyptians drew two intersecting lines, they would measure the vertical angles to make sure that they were equal. Thales concluded that one could prove that all vertical angles are equal if one accepted some general notions such as: all straight angles are equal, equals added to equals are equal, and equals subtracted from equals are equal. Know More About :- Power and Exponents
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Suppose that there are two lines and the starting point of first line is A and the starting point of second line is B now these two lines are going to meet at one point that is O and O is the end point of both the lines then we are going to represent angle like ∠AOB or ∠BOA. Now the angle is represent in degrees and minimum degree is 00 and maximum degree is 3600. Now we are going to discuss What are Vertical Angles? Vertical angles are those angles which are opposite to each other are vertical angles and the value of both the angles is same. Now we see that how vertical angles are formed, when there are two lines and when they are intersect each other then angles are formed and those angles are opposite to each other are called vertical angles. Let’s take a example suppose that we have two straight lines and both are intersect each other at O point so when two lines intersect each other then four angles are formed now we see that those angles which are opposite to each other are vertical angles and both having same values. Now there are various types of other angles are also used in geometry some of them are given below....... 1. Acute angle: - When we measure any angle and its value is less than 900 are called acute angle. 2. Right angle: - If we measure any angle and whose value is exact 900 are called right angle. 3. Obtuse angle: - When we measure any angle and its value is greater than 900 and less than 1800 or in other words the value of any angle is between 900 and 1800 are called obtuse angle. 4. Straight angle: - Those angles are called straight angle whose value is exact 1800 and straight angle is same as straight line while representing on paper. 5. Reflex angle: - Now we measure any angle and if its value is greater than 1800 and less than 3600 or we can say between 1800 and 3600 are called reflex angle. Read More About :- What are the Rational Numbers
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