Question

if two adjacent angle of a rhombus are in the ratip 3:2,Then find the smallest angle​

Answer 1

Answer:

$\tt 72^{\circ}$

Step-by-step explanation:

We know that the adjacent angles of a rhombus add up to 180°.

let, the angles be 3x and 2x.

$\tt 3x+2x=180^{\circ}$

$\tt 5x=180^{\circ}$

$\tt x = \dfrac{180^{\circ}}{5}$

$\tt x=36^{\circ}$

$\tt The\: smallest\: angle=2x=2×36 \Rightarrow 72^{\circ}$