Could somebody help me understand how to solve this to find how many solutions there are?
1 answer:
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Answer:
The vertical angles are angle AFE and angle BFD ⇒ 1st answer
Step-by-step explanation:
* <em>Lets explain when the vertical angle are formed</em>
- 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
* <em>Look to the attached figure</em>
- 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
- <em>Lets find the vertical angles</em>
∵ Line AD intersects line BE at F
∴ <u><em>∠ AFE and ∠ BFD are vertical angles</em></u>
∴ <em>∠ AFB and ∠DFE are vertical angles</em>
∵ 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
