Question

given a trapezium abcd in which ab parallel to DC and ab =DC and find angle c if angle d=70
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Answer 1

So it can written as ∠ A + ∠ D = 180o To find ∠ D ∠ D = 180o – ∠ A By substituting the value in the above equation ∠ D = 180o – 55o By subtraction ∠ D = 125o In a quadrilateral we know that the sum of all the angles is 360o So we can write it as ∠ A + ∠ B + ∠ C + ∠ D = 360o By substituting the values in the above equation 55o + 70o + ∠ C + 125o = 360o On further calculation ∠ C = 360o – 55o – 70o – 125o By subtraction ∠ C = 360o – 250o ∠ C = 110o Therefore, ∠ C = 110o and ∠ D = 125o.Read more on Sarthaks.com - https://www.sarthaks.com/725665/in-the-adjoining-figure-abcd-is-a-trapezium-in-which-ab-dc-if-a-55and-b-70-find-c-and-d?show=725667#a725667