1.

The adjacent angles of the rhombus are in the ratio of 4 : 5. Find the difference between the larger and smaller angle.1. 10°2. 20°3. 15°4. 25°

Answer» Correct Answer - Option 2 : 20°

Given :

The ratio of the adjacent angle of the rhombus = 4 : 5

Concept used :

The sum of the adjacent angles of the rhombus is 180°

Calculation :

Let the smaller and larger angle be 4x and 5x respectively.

⇒ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = 20°

Difference between the larger and smaller angle = 5x - 4x

= x = 20°

∴ The difference between the larger and smaller angle is 20°.



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