In the following figure ABCD is a trapezium in which $A B ∥ D C$ . Find the measure of $∠ C$ . [2 MARKS]

Open in App

Solution

Concept: 1 Mark
Application: 1 Mark

It is given that ABCD is a trapezium.

$A B ∥ D C$ .

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

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

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

Suggest Corrections

Similar questions

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

A B ∥ D C

∠ C

ABCD is a trapezium in which AB || DC and $∠$ A = $∠$ B = $60^{\circ}$ . Find $∠ C$ and $∠ D$ of the trapezium. [1 MARKS]

A B ∥ E F ∥ D C

ABCD is a trapezium in which AB || DC and $∠$ A = $∠$ B = $60^{\circ}$ . Find $∠ C$ and $∠ D$ of the trapezium. [1 MARKS]

Join BYJU'S Learning Program