Lines and are intersected by transversal

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines ℓ\ell and mm are intersected by transversal tt. Angles ∠P\angle P and ∠Q\angle Q lie between ℓ\ell and mm on opposite sides of tt. Select the condition that is sufficient to guarantee ℓ∥m\ell \parallel m. (a) ∠P+∠Q=90∘\angle P + \angle Q = 90^\circ (b) ∠P+∠Q=180∘\angle P + \angle Q = 180^\circ (c) ∠P=∠Q\angle P = \angle Q (d) ∠P−∠Q=30∘\angle P - \angle Q = 30^\circ

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