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Which statement most accurately describes this figure?​

Which statement most accurately describes this figure?​-example-1

1 Answer

4 votes

Answer:

The statement most accurately describes the figure is AB > DB ⇒ A

Explanation:

* Lets describe the figure

- AD intersect EC at point B

- There are two triangles ABE and DBC

- B is the mid-point of EC

- AD bisects EC

- EB = BC

- AE = DC

- m∠AEB = 30°

- m∠DCB = 27°

∵ The measure of angle AEB is greater than the measure of

angle DCB

∴ The opposite side to the angle AEB is longer than the opposite

side of angle DCB

∵ AB is the opposite side to angle AEB

∵ BD is the opposite side to angle DCB

∴ AB is longer than BD

∴ AB > DB

* The statement most accurately describes the figure is AB > DB

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