Respuesta :

Answer:

40

Step-by-step explanation:

We know that angle FGE is equal to 50 and angle GEC is equal to 90 degrees because of the square. Therefore, we add them together. 50+90=140. We know that a triangle is equal to 180 degrees so we have to subtract 140 from 180. 180-140 is equal to 40. Therefore, angle FCE is equal to 40.

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Answer:

<FCE = 40

Step-by-step explanation:

The sum of angles in a triangle is (180) degrees. This holds true for the given triangle. Therefore, one can form an equation,

<FGE + <FCE + <GEC = 180

Substitute,

50 + <FCE + 90 = 180

(Note that a box around an angle indicates that the angle measure is (90) degrees)

Simplify,

140 + m<FCE = 180

Inverse operations,

140 + <FCE = 180

<FCE = 40

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