Angle Properties |10th Maths | Unique Style of Teaching


Right Angle Oh Kevon This is called 90 angle known as right angle Property number two If there are two angles on a circuit line in such a way one is acute Other is obtuse The sum of each angle Acute plus obtuse will be 180 degree Property number three If two lines are parallel There is a line which is cutting these two The angles formed at this point and at this point which is B these two angle will be supplementary so sum of these two will be 180-degree Property number four If there are two lines Then these lines are Parallel and there is one line cutting these two Angle formed at this point and at this point are equal known as Corresponding Property number five Then there are two line In such a way they’re parallel to each other The other line which is cutting the both lines If one is angle here The other is here, which is B? Again both angles are equal being alternate angle Property number six If there are two lines and cutting like this each other the angle formed at here a Here will be the a Will be equal to B these angles are known as Vertically Opposite and If there is X there is Vertical Opposite Angle X will be Y is equal to Y having the same property vertically Opposite Angles Vertical opposite angles are always equal in magnitude Property say If there are two lines like this In this case three angles will be performed These two lines are parallel here will be gay Here will be B. Here will be C. So some of these angles a plus B plus C is equal to 360 degrees Property number eight If there are four angles like this These two lines are parallel Here is one angle a Here is B Here is C, and here is T So some of these four angles Will be equal to 540 degree now see some examples of these properties Question number one These two lines are parallel Here is four X Here is five x now You have to find the value of x in this case we will just examine We have to make an extra angle with the help of this 4x This is a relation of Vertically opposite angle here if this is 4x this will also be 4x Now these two lines are parallel in 4x + 5 X our interior angle so sum of interior angles Is equal to? 180 degree then addition 9 X is equal to 180 degree and X is equal to 20 Question second Two lines are there left L the line cutting with these two Angle at this point is 5 X minus 14 and here it is 3 X plus then No using the same technique angle, and this will be same like that It is 5 X minus 14 I am using the property vertical opposite angles Now this 10 and this these two angles are supplementary Being interior angle so some of these two interior angles Is 180 degree then by addition 8 X minus 4 is equal to 180 degree 8 X is equal to 184 so X is equal to 23 In question third If there are two nines these two lines are parallel Angle at this point is 7 X minus 12 Angle at this point 4x minus 17 Now using the property of sum of interior angle is equal to 180 these two are angles are interior so 7x minus 12 plus 4x minus 17 is equal to 180 degree so 11 X minus twenty nine is equal to 180 degree and 11 X is equal to 180 Plus 29 + 11 X is equal to 2 0 9 X is equal to 19 The cinema thought Again two lines parallel Here anger this boy at this step the angle is Phi X Minus 20 and Here the angle is 3 X plus 40 Degree now I am using the end of the property Angle at this step and this point are corresponding angle the corresponding angles are equal in magnitude so fine at minus 20 is equal to 3x plus 40 Now shifting 3x towards the sides it will be 5x minus 3x is equal to no 40 and Now I’m going to shift this 20 toward other side it will be plus 20 now 2x is equal to 60 X is equal to 30 In order to find the Y the relation between these two angle is these two angles are vertically opposite angles so 2y is equal to 5x Minus 20 now I have the value of this X which is 32 Y is equal to 5 into 30 minus 22 Y is equal to 150 minus 20 and 2y is equal to 130 Y is equal to 130 – it will be 65 No question fight Then these two lines are parallel If this angle is Phi that one is 15 and Angle at this point is 75 minus X again using the relation of vertically opposite angle that these two angles will be same so Here will be 75 minus X now 75 minus X is equal to 5x Minus 15 now 75 and By shifting this shifting towards other side it will be plus 15 and here it will be 5x and then I will ship this X to what other side it will be positive and By adding these it will be 90 is equal to 6x so X will be 15

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