3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to p
oint C in between angle D F B. Angle A F E is 125 degrees and angle B F C is 45 degrees. What is mAngleDFC? 45° 80° 125° 135°
2 answers:
Answer:
∠ DFC = 80°
Step-by-step explanation:
See the attached figure.
Since BFE is a straight line so, ∠ BFA + ∠ AFE = 180°
Now, ∠ AFE is given to be 125°.
So, ∠ BFA = 180° - 125° = 55°
Now, AFD is a straight line. So, ∠ BFA + ∠ BFC + ∠ DFC = 180°
⇒ 55° + 45° + ∠ DFC = 180° {Since, ∠ BFC is given to be 45°}
⇒ ∠ DFC = 180° - 55° - 45° = 80° (Answer)
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