please solve 18 number
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m£BEF + m£DFE =180° -------- (1) consecutive interior angels are supplementary
also
m£BEF = m £BEG + m£GEF
but £BEG = £GEF
therefore ,
m£BEF = m £GEF + m£GEF
m£BEF = 2 m £GEF --------( 2 )
and
m£DFE = m £GFE + m£DFG
but £GFE = £DFG
therefore ,
m£DFE= m £GFE+ m£GFE
m£BEF = 2 m £GFE -------(3)
putting the values of 2 and 3 in 1 we get
2 m £GEF + 2 m £GFE = 180°
2 ( m £GEF + m £GFE ) = 180
( m £GEF + m £GFE ) = 90 -------- (4)
now in triangle EFG
m£EGF + m £GEF + m £GFE = 180
m£EGF + 90 = 180 ------ from 4
m£EGF = 180 - 90
m£EGF = 90