In which of the following cases is the construction of a triangle not possible?

Measures of 3 sides are given.

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Measures of 2 sides and an included angle are given.

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Measures of 2 angles and an included side are given.

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Measures of 3 angles are given.

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Solution

The correct option is D Measures of 3 angles are given.
When 3 angles are given, we cannot construct a unique triangle. We can draw triangles of different sizes with a given set of 3 angles. The side lengths can vary while the angles are the same.

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