Question

find $m\angle c$.
enter the correct value in the box.
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Explanation:

Step1: Identify polygon type & sum

Sum of interior angles for n-sided polygon: $(n-2)\times180^\circ$. For $n=4$, sum is $(4-2)\times180^\circ = 360^\circ$.

Step2: Note congruent sides/angles

Sides $CD=CF$, $DE=FE$, so $\angle D = \angle F = 125^\circ$.

Step3: Calculate $\angle C$

Subtract known angles from total sum:
$\angle C = 360^\circ - 125^\circ - 125^\circ - 75^\circ$
$\angle C = 360^\circ - 325^\circ = 35^\circ$

Answer:

35