Q.

In the given figure, What is the measure of ∠DEF?Question Image


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a

30°

b

40°

c

50°

d

60° 

answer is B.

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Detailed Solution

Given,
Question ImageIn DEF and ABC,
AC = DF = 5cm
EF = BC = 3cm
∠EFD = ∠BCA = 68°
Thus, DEF  ABC.
Hence, ∠FDE = ∠BAC.
2x + 38° = 4x
x = 19°
Apply the angle sum property in DEF.
 2x + 38° + 68° + ∠DEF = 180°
 2(19°) + 106° + ∠DEF = 180°
 ∠DEF = 40°
Hence, option 2 is correct.
 
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In the given figure, What is the measure of ∠DEF?