Question

What is the value of x?

a. 86.5°
b. 43.25°
c. 133.25°
d. 46.75°

Answer 1

Answer: D. 43.25

Explanation:

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Answer 2

x = 43.25

Explanation:

In the given figure :

In ΔDEF ,

DF = FE

⇒ ∠DEF = ∠FDE = x ( Angles opposite to equal sides are equal)

Now, using angles sum property of a triangle in ΔDEF

∠DEF + ∠FDE + ∠DFE = 180

⇒ ∠FDE + ∠FDE + 93.5 = 180

⇒ x + x = 180 - 93.5

⇒ 2x = 86.5

⇒ x = 43.25