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is it possible for a rhombus to have a angle of 120 degrees and a angle of 30 degrees ? homework question

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Solution:

From the properties of a Rhombus;

Opposite angles of a rhombus are equal.

The adjacent angles of a rhombus are supplementary, i.e. adds up to 180°

If one of the angles of a rhombus 120°, and the sum of the adjacent angles is 180°, then, the adjacent angle will be 60° (180° - 120° = 60°)

If one of the angles of a rhombus is 30°, then, the adjacent angle will be 150° (180° - 30° = 150°)

Thus, the sum of 120° and 30° is not supplementary and definitely can not be adjacent, since they do not sum up to 180°.

Hence, it is not possible

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