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# Project on Angles

Project on Angles. By Krishna Kumar Sahu TGT - MATHS Kendriya Vidyalaya NO. 2 CPE ITARSI. How many types of angles ?. Vertically Opposite Angles. Alternate interior Angles. Alternate Exterior Angles. Corresponding Angles. Linear pair of angles.

## Project on Angles

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1. Project on Angles By Krishna Kumar Sahu TGT - MATHS Kendriya Vidyalaya NO. 2 CPE ITARSI

2. How many types of angles ?. • Vertically Opposite Angles. • Alternate interior Angles. • Alternate Exterior Angles. • Corresponding Angles. • Linear pair of angles. • Interior Angles on the same side of a Transversal. • End Show.

3. VERTICALLY OPPOSITE ANGLES Here l & m are two lines , t is transversal Then t 1 l 3 1 , 2 4 4 Vertically Opposite Angles 2 , 8 3 m 7 5 , 5 7 8 6 , 6 If two lines are intersecting each other then vertically opposite angles are always equal. So 1 = 3 , 2 = 4 , 5 = 7 , 6 = 8

4. Alternate Interior Angles t m Here l & m are two lines, t is a transversal then 1 2 3 l 4 Alternate Interior Angles 4 1 , 3 2 , If two lines are parallel to each other then alternate interior angles are equal 1 = 4 , 2 = 3 1 2 3 4

5. CORRESPONDING ANGLES Here l & m are two lines , t is transversal Then t 1 2 m 5 6 3 1 , 3 4 l 4 Corresponding Angles 2 , 7 8 1 7 5 , 2 5 6 8 6 , 3 4 If two lines are parallel to each other then corresponding angles are always equal. So 7 8 1 = 3 , 2 = 4 , 5 = 7 , 6 = 8

6. Alternate Exterior Angles. CORRESPONDING ANGLES t 3 4 Here l & m are two lines, t is a transversal then m l Alternate exterior Angles 4 1 , 2 1 3 2 , If two lines are parallel to each other then alternate exterior angles are equal 3 1 = 4 , 2 = 3 4 1 2

7. Interior angles on the same side of a transversal Here l & m are two lines, t is a transversal then m 1 2 4 3 l Pair of interior angles on the same side of transversal 4 2 , t 3 1 , If two lines are parallel to each other then sum of interior angles on the same side of transversal is 180. 2 + 4 = 180 & 1 2 1 + 3 = 180 3 4

8. Linear pair of angles Angles on a straight line is Linear pair of angles & their sum is always equal to 180o. ACB =1800 A C B ABD + DBC = 1800 D Two adjacent angles form a linear pair. Two acute angles not form a linear pair. Two obtuse angle not form a linear pair. One obtuse and one acute angle form a linear pair. Two right angles form a linear pair. C A B

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