Question

Find angle X on the given figure. m

Answer 1

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°