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11.Find m∠C in below figure if \(\bar { AB } ∥ \bar { DC }\)


Answer :

Since AB ∥ DC and transversal BC intersects them.So we have,
\(∠B + ∠C= 180^{\circ}\quad \) [∵ Sum of interior angles is 180^{\circ}]

\(\Rightarrow 120^{\circ}+ ∠C =180^{\circ} \)

\(\Rightarrow ∠C = 180^{\circ}- 120^{\circ} = 60^{\circ}\)

Hence, \(m∠C =60^{\circ}\)

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