what is m∠dfc?\n45°\n80°\n125°\n135°

Answer

Explanation:

Step1: Recall angle - sum property around a point

The sum of angles around a point is 360°. At point F, we know two angles: ∠AFE = 125° and ∠BFC=45°. Also, ∠AFD is a straight - line angle, so ∠AFD = 180°.

Step2: Express ∠DFC in terms of known angles

We know that ∠AFD=∠AFB + ∠BFC+∠DFC. Since ∠AFD = 180°, and ∠BFC = 45°, we can find ∠DFC. We can also note that the non - relevant angle ∠AFE is given as extra information. We use the formula ∠DFC=∠AFD−∠BFC. Substitute ∠AFD = 180° and ∠BFC = 45° into the formula: ∠DFC=180°−45°

Step3: Calculate the value of ∠DFC

180 - 45=135°.

Answer:

135°