Find the values of x and y in the following parallelogram.

Question

Answer:
:
In a parallelogram, adjacent angles are supplementary.

∴ 120^{\circ} + (5 x + 10)^{\circ} = 180^{\circ} \Rightarrow 5 x + 10^{\circ} + 120^{\circ} = 180^{\circ} \Rightarrow 5 x = 180^{\circ} - 130^{\circ} \Rightarrow 5 x = 50^{\circ} \Rightarrow x = 10^{\circ}

Also, opposite angles are equal in a parallelogram.
Therefore,

6 y = 120^{\circ} \Rightarrow y = 20^{\circ}

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