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In the given figure, ∠BAC = 70°, ∠ACB = 45° and ∠DEA = 140°. What is the value of ∠BDE?

A10

B15

C20

D25

Answer:

D. 25

Read Explanation:

Sum of angles of a triangle is 180 ∠ABC + 70 + 45 = 180 ∠ABC = 65 ∠DBE = 180 - ∠ABC = 180 - 65 = 115 ∠DEB = 180 - 140 = 40 In ∆DEB ∠DBE + ∠DEB + ∠BDE = 180 ∠BDE = 180 - 40 - 115 = 25


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