In the figure, AB || CD and XY is the transversal.

Which of the following is incorrect?

p = 115^{\circ}

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q = 115^{\circ}

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q = 65^{\circ}

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r = 115^{\circ}

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Solution

The correct option is C $q = 65^{\circ}$
$115^{\circ}$ and q are interior angles on the same side of the transversal.
So, $115^{\circ} + q = 180^{\circ}$
$\Rightarrow q = 180^{\circ} - 115^{\circ} = 65^{\circ}$

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