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The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
Question

The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:

A.

40°

B.

120°

C.

80°

D.

60°

Correct option is D

Given:

The adjacent angles of a rhombus are in the ratio of 3 : 6.

Property:

Adjacent angles of a rhombus are supplementary.

The opposite angles of a rhombus are equal.

Solution:

Let the adjacent angles are 3x and 6x.

3x + 6x = 180° 

=> 9x = 180°

=> 3x = 60°

∴ The smallest angle of the rhombus = 60°

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