In the given figurs, `/_BAC =70^(@),/_BCD=80^(@),/_EFC =80^(@)` and `/_ABC =60^(@)`. How many isoscles triangles are there in the given figure ?

Options

A. 1
B. 2
C. 3
D. 4

Answer

b

Explanation

From the figure, In `Delta ABC, /_ BCA`
`=180^(@)-70^(@)-60^(@)=50^(@)`
In `Delta EFC,/_FEC=180^(@)-80^(@)-50^(@)=50^(@)`
`/_DFC =180^(@)-80^(@)=100^(@),/_FCD = 80^(@)-50^(@)=30^(@)` `( :'/_ECD =80^(@))`
`:. /_EDC =180^(@)-80^(@)-30^(@)=50^(@)`
`:. Delta FEC ` and ` Delta DEC` arre isosceles triangles.