Q. 34.6( 23 Votes )
In the adjoining figure, is a trapezium in which If and find and
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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