In ΔCDE, \overline{CE} CE is extended through point E to point F, m∠CDE = (3x-14)^{\circ}(3x−14) ∘ , m∠DEF = (8x-12)^{\circ}(8x−12) ∘ , and m∠ECD = (3x+12)^{\circ}(3x+12) ∘ . What is the value of x?

The value of x is 5.

Step-by-step explanation:

We are given the following in the question:

∠DEF = (8x−12) degrees

Exterior angle sum property:

The angle DEF is the exterior angle and angle CDE and angle ECD are the opposite interior angle.

Thus, we can write the equation:

Thus, the value of x is 5.

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

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step-by-step explanation: