I need help asap pls

Mathematics

1 answer:

sp2606 [1]3 years ago

8 0

9514 1404 393

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°

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

c) ∠ABE = 44°/2

∠ABE = 22°

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

∠ADE = 15°

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