A bicycle track meets a straight main road at point

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

Problem

A bicycle track meets a straight main road at point PP. The smaller angle between the track and one arm of the road measures 64∘64^\circ. (i) Draw a neat rough sketch of the situation and label all the relevant rays and angles. (ii) Calculate the angle between the bicycle track and the other arm of the main road. (iii) Classify each of the two angles obtained in parts (i) and (ii) as acute, obtuse or right.

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