A man walks south from the North Pole and turns left when he reaches the equator

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry

Problem

A man walks south from the North Pole and turns 90∘90^\circ left when he reaches the equator. He walks for a while and then turns 90∘90^\circ left to walk back to the North Pole. (a) Has the man walked in a triangle? (b) Is the angle sum of a triangle always equal to 180∘180^\circ ?

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