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In the given diagram, if BAC=30°, ∠ABC = 50° and ∠CDE = 25°, then ∠AED is equal to:
Question

In the given diagram, if BAC=30°, ∠ABC = 50° and ∠CDE = 25°, then ∠AED is equal to:

A.

105°

B.

115°

C.

75°

D.

95°

Correct option is A

Given:
∠BAC = 30°, ∠ABC = 50° and ∠CDE = 25°
Concept Used:
Exterior Angle Property = An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Solution:
∠ACD = ∠BAC + ∠ABC [ Exterior Angle Property]
∠ACD = 30° + 50° = 80°
∠AED = ∠ACD + ∠EDC [ Exterior Angle Property]
80° + 25° = 105°
∠AED = 105°

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