Question

I need help asap pls

Answer 1

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Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

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b) ∠CEB = 90° . . . . . the diagonals meet at right angles

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c) ∠ABE = 44°/2

  ∠ABE = 22°

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d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°