In Figure, ABCD is a trapezium in which AB || DC, $∠ A = 105^{0}$ and $∠ B = 115^{0}$ . Find the value of $x + y$ (in degrees).

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Solution

$∠ A$ and $∠ D$ are supplementary then
$105^{\circ} + x = 180^{\circ} \Rightarrow x = 75^{\circ}$
Similarly, $115^{\circ} + y = 180^{\circ} \Rightarrow y = 65^{\circ}$
$x + y = 75 + 65 = 140^{\circ}$

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In Figure, ABCD is a trapezium in which AB || DC, ∠A=1050 and ∠B=1150. Find the value of x+y(in degrees).

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In Figure, ABCD is a trapezium in which AB || DC, $∠ A = 105^{0}$ and $∠ B = 115^{0}$ . Find the value of $x + y$ (in degrees).

$∠ A$ and $∠ D$ are supplementary then
$105^{\circ} + x = 180^{\circ} \Rightarrow x = 75^{\circ}$
Similarly, $115^{\circ} + y = 180^{\circ} \Rightarrow y = 65^{\circ}$
$x + y = 75 + 65 = 140^{\circ}$