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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

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Thus, sum of adjacent angles in trapezium is 180°

 

  1. Chapter 3 Class 8 Understanding Quadrilaterals
  2. Concept wise

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°

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.