Question

two adjacent angle of a rhombus are in the ratio 2:3.find the angles of the rhombus

Answer 1

Answer:

let the angles be 2x and 3x,

2x+3x=180 (adj. side of rhombus)

5x=180

X = 180/5

X= 36

therefore, 2x= 2× 36 = 72

3x= 3x 36= 108

Answer 2

Answer:

72, 108

Step-by-step explanation:

Let the adjacent angles of a rhombus be ∠A= 2x and ∠B =3x.

2x + 3x = 180° [sum of the adjacent angles of a rhombus is equal to 180°]

5x = 180°

x = 180°/5

x = 36°

∠A = 2x = 2 × 36° = 72°

∠A = ∠C = 72° [opposite angles of a rhombus are equal]

∠B = 3x = 3 × 36° = 108°.

∠B = ∠D = 108° [opposite angles of a rhombus are equal]

Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.