The adjacent angles of the rhombus are in the ratio of 4 : 5. Find the difference between the larger and smaller angle.

Question

Question

Answer 1

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°.