Discussion
In the given figure, ABCD is a parallelogram. Then which of the following is true about x and y?
Answer: B
The answer is x = 70°, y = 110°.
The 70° angle at C lies between the extensions of sides BC and DC beyond C, so it is vertically opposite the interior angle BCD. Hence angle C = 70°.
In a parallelogram opposite angles are equal, so the interior angle at A is also 70°, which is x. Adjacent angles are supplementary, so the interior angle at D is 180° - 70° = 110°, which is y.
Option A swaps the two values, option C makes adjacent angles equal, and option D gives a pair that does not add up to 180°.
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