Answer:
x = 61°
Step-by-step explanation:
In a rhombus, the diagonals bisect the angles, thus
∠ BAE = ∠ DAE = 29° , then ∠ A = 58°
∠ ADE = ∠ CDE = x , then ∠ D = 2x
In a rhombus, consecutive angles are supplementary
∠ A and ∠ D are consecutive angles , then
58 + 2x = 180 ( subtract 58 from both sides )
2x = 122 ( divide both sides by 2 )
x = 61°
