Q:

3 lines are shown. A line with points A, F, D intersects with a line with points B, F, E at point F. Another line extends from point F to point C in between angle B F D. Which are vertical angles? AngleAFE and AngleBFD AngleBFC and AngleDFE AngleAFE and AngleCFD AngleBFC and AngleEFA

Accepted Solution

A:
Answer:The vertical angles are angle AFE and angle BFD ⇒ 1st answerStep-by-step explanation:* Lets explain when the vertical angle are formed- The vertical angle are formed wen two lines cross each other- The vertical angles are opposite to each other- The vertical angles are equal in measures* Look to the attached figure- There are three lines intersected at point F, line AD , line BE and  line FC- Line AD intersects line BE at F- Line FC intersects the two lines at F, where FC is between the sides  of the angle BFD- Lets find the vertical angles∵ Line AD intersects line BE at F∴ ∠ AFE and ∠ BFD are vertical angles∴ ∠ AFB and ∠DFE are vertical angles∵ Line FC intersects the two lines AD and BE at point F∵ The end point of line FC is F∴ There is no vertical angles formed between the two lines and the    line FC ∴ The vertical angles are angle AFE and angle BFD