In the trapezium ABCD, the measure of ∠D is __________.

[1 mark]
[NCERT - Exemplar Q27]
[Properties of a Trapezium]

115°

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125°

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55°

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135°

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Solution

The correct option is B 125°
Solution:
We know that the sum of the angles on either side of the base of a trapezium are supplementary.
[0.5 mark]

So, ∠A + ∠D = 180°
⇒ 55° + ∠D = 180°
⇒∠D = 180°- 55° = 125°

Hence, the value of ∠D is 125°.
[0.5 mark]

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