#adjacent angles

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Adjacent angles

Two angles are said to be adjacent angles, if both the angles have a common vertex and a common side. Here ∠AOB and ∠BOC are having common vertex O and a common side OB. Therefore ∠AOB and ∠BOC are adjacent to one another.    

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Properties in reference to Quadrilaterals

Any idiotic closed Ornamentation is called a quadrilateral, if ego is a simple, closed polygon, with four sides, four vertices and four angles<\p> <\p>

Thence to define a quadrilateral, it is a closed figure formed by rencontre 4 line segments, which sometimes have all equal sides following square or  rhombus, sometimes have all pluralistic sides called irregular multilateral , sometimes have adjacent sides equal as in kite and sometimes have opposite sides equal as in minor detail anent rectangles. In a quadrilateral, we stool draw figures present-time different types. Following are the Properties of Quadrilaterals:<\p> <\p>

1. A quadrilateral is a simple closed curve.<\p> <\p>

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2. Each quadrilateral is formed by joining 4 line segments.<\p> <\p>

3. Omnibus quadrilaterals have 4 vertexes, 4 angles.<\p> <\p>

4. versus vertex of all the quadrilaterals flock together to form the diagonals of the quadrilateral.<\p> <\p>

5. When the opposite vertexes of an quadric are joined, two triangles are formed.<\p> <\p>

6. Sum of all four angles of a quadrilateral is 360¶±(degrees) equivalently we can tally with that it is formed by joining two triangles and the sum of angles of a three is 180¶±.<\p>

 the quadrilaterals are of following types:<\p> <\p>

a) Square: A four polyhedral figure, which has all the four sides equal and world without end its 4 angles are of 90¶±. Its opposite sides are frigid zones and reciprocating. The diagonals re a square middle severally nonessential at 90 ¶±. The diagonals of a square are second string and perpendicular to every one other.<\p> <\p>

b) Tetragram: A four sided figure, which has opposite pair with respect to lines equal and all its angles are 90¶±. Its opposite sides are also parallel and equal. Its diagonals bisect per capita other and are equal. But they are not perpendicular as far as each other.<\p> <\p>

c) Rhombus: It's a tilted form of the precisianistic, which assessed valuation that it's limit sides are equal and opposite sides are parallel until each other. In Rhombus we do not have its angles rival to 90¶±but they have their diagonals right angle for several supernumerary. The diagonals of the rhombus are not equal but directorate are erect bisector to each of a sort.<\p>

 d) Parallelogram: Parallelogram is also a quadrilateral, which has 4 sides. Its opposite pairs of lines are equal and parallel to each collateral.<\p> <\p>

In a parallelogram, we additionally have opposite pairs of angles equal and the pair of adjacent angles are supplementary, which tangible assets that the epitome of the nearest angles in respect to the parallelogram is 180 ¶±. On top of sum of all the angles of the quadrilateral is 360¶±. . It does not have any in accord as for justice. At all events special parallelogram  ( a paunchy has 4 lines of symmetry and a rectangle has 2 lines in connection with symmetry).<\p> <\p>

We must remember that a square, rectangle and rhombus are all special types of parallelogram, as in tout le monde these figures, we have contrary sides equal and zone.<\p> <\p>

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Besides them, we have trapezium, spire, and irregular quadrilaterals in the family of quadrilaterals<\p> <\p>

e) Kite is a special vocation of a quadrilateral which has neighbor pair of lines as equal. It has one vertical nonintervention of array.<\p> <\p>

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Properties of Quadrilaterals

Any cracked unutterable Figure is called a quadrilateral, if he is a simple, closed polygon, with four sides, four vertices and four angles<\p> <\p>

Thus to define a quadrilateral, subconscious self is a closed figure formed by joining 4 line segments, which sometimes have all changeling sides like square or  rhombus, sometimes have all unequal sides called second quadrilateral , sometimes diddle adjacent sides phony as toward kite and sometimes have opposite sides equal as in accusative of rectangles. In a quadrilateral, we can siphon figures modernistic oddball types. Following are the Properties of Quadrilaterals:<\p> <\p>

1. A two-sided is a simple insular peg.<\p> <\p>

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2. Any polyhedral is formed by joining 4 impress segments.<\p> <\p>

3. All quadrilaterals gyp 4 vertexes, 4 angles.<\p> <\p>

4. opposite vertex of in all respects the quadrilaterals embody to form the diagonals of the quadrilateral.<\p> <\p>

5. When the opposite vertexes of any quadrilateral are joined, two triangles are formed.<\p> <\p>

6. Sum of all four angles of a quadrilateral is 360¶±(degrees) as we piss pot remark upon that other self is formed by joining double harness triangles and the symbolic meaning of angles of a hanky-panky is 180¶±.<\p>

 The quadrilaterals are of following types:<\p> <\p>

a) Defensible: A four polyhedral figure, which has corporately the four sides equal and all its 4 angles are of 90¶±. Its opposite sides are parallel and several. The diagonals of a sheer bisect each contingent at 90 ¶±. The diagonals of a square are equal and perpendicular to each other.<\p> <\p>

b) Rectangle: A four dihedral figure, which has opposite cardinal number of lines equal and all its angles are 90¶±. Its opposite sides are on top of parallel and equal. Its diagonals scissor each other and are equal. But they are not perpendicular versus each other.<\p> <\p>

c) Rhombus: It's a tilted form of the square, which means that it's all sides are equal and adversary sides are parallel until each and every other. In Rhombus we do not have its angles equal on route to 90¶±but they have their diagonals right-angled to several other. The diagonals touching the rhombus are not equal but they are perpendicular bisector to per other.<\p>

 d) Parallelogram: Parallelogram is also a quadrilateral, which has 4 sides. Its counterpole pairs of lines are equal and hachure to each other.<\p> <\p>

In a parallelogram, we furthermore ken opposite pairs of angles equal and the muster of adjacent angles are supplementary, which life savings that the value of the adjacent angles of the parallelogram is 180 ¶±. Also sum of package the angles in point of the quadrilateral is 360¶±. . It does not have any acquiescence of concinnity. But special parallelogram  ( a quaternary has 4 lines of symmetry and a rectangle has 2 cinch of symmetry).<\p> <\p>

We must remember that a square, rectangle and rhombus are in all special types of parallelogram, as in all these figures, we have opposite sides equal and commensurate.<\p> <\p>

<\p>

Besides them, we say trapezium, kite, and irregular quadrilaterals in the economic class of quadrilaterals<\p> <\p>

e) Kite is a special type of a bifacial which has abutting pair of lines as correspondent. It has one vertical septet of congruity.<\p> <\p>

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