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Trapezium

Last updated at May 29, 2023 by

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Trapezium is a quadrilateral with

one pair of opposite sides parallel

Here, AB ∥ CD

 

Thus, sum of adjacent angles in trapezium is 180°

 

Property:

Adjacent angles of Trapezium are supplementary

i.e. ∠ A + ∠ D = 180°

      ∠ B + ∠ C = 180°

 

Let’s look at its proof

Trapezium - Part 2

Thus, sum of adjacent angles in trapezium is 180°

 

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Transcript

AB ∥ CD and AD is transversal So, ∠ A & ∠ D are angles on same side of transversal Sum of Interior angles on same side of transversal is 180 ° ∴ ∠ A + ∠ D = 180° AB ∥ CD and BC is transversal AB ∥ CD and BC is transversal So, ∠ B & ∠ C are angles on same side of transversal Sum of Interior angles on same side of transversal is 180 ° ∴ ∠ B + ∠ C = 180° Thus, sum of adjacent angles in trapezium is 180°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.