Mathematics

In figure (3) given below, ABCD is a rhombus. Find the value of x.

Rectilinear Figures

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Answer

As AD || BC, sum of co-int ∠s = 180°.

∠A + ∠B = 180°

∠B = 180° - ∠A = 180° - 72° = 108°.

The diagonals of rhombus bisect the angles.

$\therefore x° = \dfrac{1}{2} \times 108° = 54°.$

⇒ x = 54.

Hence, x = 54.

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