Q. 34.6( 23 Votes )

In the adjoining figure, is a trapezium in which If and find and


Answer :

Here given that ABCD is trapezium where AB || DC.


We observe that A and D are the interior angles on the same side of transversal line AD, whereas B and C are the interior angles on the same side of transversal line BC.


As A and D are interior angles, we have,


A + D = 180°
D = 180° A
D = 180° 55° = 125°
Similarly for B and C,


B + C = 180°
C = 180° B
C = 180° 70° = 110°
Hence, measure of
D and C are 125°and 110° respectively.


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