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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Find the sum of
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| Right Option : D | |||
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AB and CD are two parallel lines. PQ cuts AB and CD at E and F Respectively. EL is the bisector of <FEB. If <LEB= | |||
| Right Option : C | |||
| View Explanation | |||
Find the value of d: | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
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Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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Ayan Ghosh
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Cheshta
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