2 years ago

I need help finding the value of x

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

From the figure attached,

∠AFB ≅ ∠EFC [Vertically opposite angles]

Since, ∠AFB and ∠EFC are the central angles subtended by arcs EC and AB.

Therefore, (21x - 9) = m(∠EFC)

(21x - 9) = m∠EFD + m∠CFD

(21x - 9) = 90° + 27°

21x = 9 + 117

21x = 126

x = 6

Therefore, x = 6 will be the answer.

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