Types of Quadrilaterals
Last updated at April 16, 2024 by Teachoo
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
Thus, sum of adjacent angles in trapezium is 180°
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°
You are here