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The Following Figure is Parallelogram. Find the Degree Values of the Unknown X, Y, Z.

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Question

The following figure is parallelogram. Find the degree values of the unknown xyz

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Solution

\[\text{ Sum of all angles in a triangle is } {180}^° . \]
\[ \therefore 30° + 90° + z = 180°\]
\[z = 60°\]
\[\text{ Opposite angles are equal in parallelogram } . \]
\[ \therefore y = z = 60°\]
\[\text{ and } x = 30° (\text{ alternate angles })\]  

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