Question

If adjacent angles of a rhombus are in ratio 3:2 . Find all the other three angles .

Answer 1

Hi Mate!!!

Let the adjacent angles of rhombus are in ratio 3x : 2x

=>. 3x + 2x + 3x + 2x = 360

=>. x = 36°

So, the angles are

3 ( 36° ) , 2 ( 36° ) , 3 ( 36 ° ) and 2 ( 36° )

Have a nice time..

Answer 2

Answer :

Given adjacent angles of rhombus are in ratio 3 : 2

Let these two angles be 3x and 2x

Now as we know that -

Sum of the adjacent angles of rhombus is 180°

Therefore -

3x + 2x = 180°

5x = 180°

x = 180 ÷ 5 = 36°

now x = 36°,

therefore two adjacent angles are

3(x) = 3(36) = 108°

2(x) = 2(36) = 72°

Now, we need to find other two angles.

Let one of those angles be p

then,

72° + p = 180° (adjacent angles)

p = 180° - 72°

p = 108°

let the other angle be z

then,

z + 108° = 180°

z = 180° - 108°

z = 72°

Therefore all 4 angles are 108°,72°,108° and 72°