Checking both possible angles

Checking both possible angles

Secondary 3
4 marks
TGM Original Questions

Triangle \(ABC\) has \(BC=8\) cm, \(AC=10\) cm and \(\angle BAC=40^\circ\). Find all possible values of \(\angle ABC\), correct to 1 decimal place, and show that each is valid.[4]

Solution:

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Answer:\(53.5^\circ\) or \(126.5^\circ\); both leave a positive third angle.

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