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Question

A student when asked to measure two exterior angles of ∆ABC observed that the exterior angles at A and B are of 103° and 74° respectively. Is this possible? Why or why not?

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Solution

Here,Internal angle at A+ External angle at A=180° Internal angle at A+ 103°=180° Internal angle at A=77° Internal angle at B+ External angle at B=180° Internal angle at B+ 74°=180° Internal angle at B=106° Sum of internal angles at A and B=77°+106°=183°It means that the sum of internal angles at A and B is greater than 180°, which cannot be possible.

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