Lines and are parallel

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines pp and qq are parallel. A transversal rr meets them at points MM and NN respectively. The angle on the exterior of line pp at MM and to the left of rr measures 75∘75^\circ. (i) Name the angle on line qq that forms a corresponding angle pair with the given 75∘75^\circ angle. (ii) Calculate the measure of this angle. (iii) Give a brief reason for your calculation based on the relationship between the two angles.

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