In the figure, AEB,BDC,AFD and EFC are straight lines. Prove that x=a+b+c.
Thankyou!
圖片參考：http://imgcld.yimg.com/8/n/HA07687958/o/701107230069913873431780.jpg
Mathematics F.2--->F.3 10marks
2011-07-24 1:17 am
回答 (1)
2011-07-24 2:00 am
✔ 最佳答案
ConsiderΔABD:∠ADC = a + b ...... (1)
(ext. ∠ ofΔ)
Consider ΔDEC:
x = ∠ADC + c ...... (2)
(ext. ∠ ofΔ)
Put (1) into (2):
x = (a + b) + c
Hence, x = a + b + c
參考: 土扁
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