Respuesta :

Answer:

angle BED = 82

Step-by-step explanation:

angle BDE is equal to angle DBE because the opposite side are equal (both are radii)

angle BED = 180-49-49 = 82

Measure of angle BED is  82°

Angle sum property:

Find:

Measure of angle BED

Computation:

We know that;

EB = ED (Radius of a circle)

So,

We say that

∠EBD = ∠EDB = 49°

By using angle sum property:

∠EBD + ∠EDB + ∠BED= 180

49 + 49 + ∠BED = 180

∠BED = 82°

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