If m∠BCD = 70 and m∠DEC = 56, what is the measure of ∠DEF?

What type of figure are you dealing with? How does F fit in?

120, DUH

To find the measure of ∠DEF, we need to use the fact that the angles in a triangle add up to 180 degrees.

From the given information, we know that ∠BCD = 70 degrees and ∠DEC = 56 degrees. Since ∠BCD and ∠DEC are adjacent angles in triangle DEC, we can add their measures to find the measure of ∠BEC.

∠BEC = ∠BCD + ∠DEC
∠BEC = 70 + 56
∠BEC = 126 degrees

Now, we can use the fact that the angles in a triangle add up to 180 degrees to find ∠DEF.

∠DEF = 180 - (∠BEC + ∠DEC)
∠DEF = 180 - (126 + 56)
∠DEF = 180 - 182
∠DEF = -2 degrees

Therefore, the measure of ∠DEF is -2 degrees.