In the following figure ABCD is a trapezium in which $A B ∥ D C$ . Find the measure of $∠ C$ .

40^{0}

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120^{0}

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30^{0}

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60^{0}

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Solution

The correct option is D $60^{0}$
Concept: 1 Mark
Application: 1 Mark

It is given that ABCD is a trapezium.

$A B ∥ D C$ .

$∴ ∠ C + ∠ B = 180^{\circ} [S u m o f c o i n t e r i o r a n g l e s i s 180^{\circ}]$

$\Rightarrow ∠ C + 120^{\circ} = 180^{\circ}$

$\Rightarrow ∠ C = 180^{\circ} - 120^{\circ} = 60^{\circ}$

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Q. In the following figure ABCD is a trapezium in which

A B ∥ D C

. Find the measure of

∠ C

(2 marks)

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In the following figure ABCD is a trapezium in which AB∥DC. Find the measure of ∠C.

The correct option is D 600Concept: 1 Mark Application: 1 Mark It is given that ABCD is a trapezium. AB∥DC. ∴∠C+∠B=180∘ [Sum of co interior angles is 180∘] ⇒∠C+120∘=180∘ ⇒∠C=180∘−120∘=60∘

In the following figure ABCD is a trapezium in which $A B ∥ D C$ . Find the measure of $∠ C$ .