Respuesta :

wegnerkolmp2741o

Answer:

54

Step-by-step explanation:

Diagonals are perpendicular so

2x+ 90 + 3x = 180  since this forms a triangle

Combine like terms

5x+ 90 = 180

Subtract 90 from each side

5x +90-90 =180-90

5x = 90

Divide each side by 5

5x/5 = 90/5

x =18

We want to find Angle ABD

ABD = 3x = 3*18 = 54

rameshani1204

Answer:

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Step-by-step explanation:

Say that the intersecting point of both diagonals is O

that means that in triangle AOB, all angles add up to 180º that is just the definition of sum of angles in a triangle

and the m<AOB = 90º, diagonals in a rhombus are perpendicular

that means that

90º + 2x + 3x = 180º

90º + 5x = 180º

5x = 90º

x = 18º

if m<ABD = 3x

then its equal to m<ABD = 3(18)

m<ABD = 54º

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