Co Interior Angles
Co-Interior Angles
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Co-interior angles: The interior angles that lie between two lines and on the same side of a transversal are called co-interior angles. If the two lines are parallel, then co-interior angles add to give In the figure, the following pairs of angles are called pairs of consecutive interior angles: Theorem: If the transversal intersects two parallel lines, then each pair of co-interior angles are supplementary. Given: m and n are parallel lines and the transversal l cuts m and n To Prove : Proof: line m and l intersect each other therefore
Line m and n are parallel and the transversal l cuts them. From Eq. (1) and (2) Hence Proved that co-interior angles are supplementary. Theorem: If a transversal intersects two lines such that a pair of co-interior angles are supplementary, then the lines are parallel Given: m and n are lines and the transversal l cuts m and n and To Prove: m and n are parallel Proof: line m and l intersect each other therefore
and From Eq. (1) and (2) But they are alternate interior angles when the transversal l cuts the line m and n Since they are equal the lines are parallel. Hence Proved that the lines are parallel. Illustration: Identify co - interior angles from the given figure: Solution: <3 and <5 are co - interior <3 + <5 = 180. <4 and <6 are co - interior and <4 + <6 = 180. because AB and CD are two parallel lines and a transversal L intersects them: The converse of each of the above statements is also true. |
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Solution: As co-interior angles are supplementary 5x + 37 + 43 = 180 5x =180-80 5x=100 x = 20 |
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Are the lines m and l parallel, then the angles shown in the image are:
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| Right Option : D | |||
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In the given figure, if | |||
| Right Option : C | |||
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If | |||
| Right Option : B | |||
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Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
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10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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