Lines and are parallel and are cut by a transversal

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Lines mm and nn are parallel and are cut by a transversal tt. Angles ∠1\angle 1 and ∠2\angle 2 lie between mm and nn on the same side of tt. Which of the following is always true? (a) ∠1=90∘\angle 1 = 90^{\circ} (b) ∠1+∠2=180∘\angle 1+\angle 2 = 180^{\circ} (c) ∠1+∠2=90∘\angle 1+\angle 2 = 90^{\circ} (d) ∠1=∠2\angle 1 = \angle 2

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