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Question

Mathematics Question on Kinds of Quadrilaterals

Find mCm∠C in Figure if ABˉDCˉ\bar {AB}|| \bar{DC}
figure ABCD

Answer

Given that, ABˉDCˉ\bar{AB}||\bar{DC}
B+C=180°∠B + ∠C = 180° (Angles on the same side of transversal)
\Rightarrow 120º+C=180°120 º + ∠C = 180°
\Rightarrow C=60°∠C = 60°