चित्र में, यदि `AB||DC,EF bot CD ` और ` angle GED =126^(@) ` हो तो ` angle AGE ,angleGEF ` और ` angle FGE` ज्ञात कीजिए|

Explanation

दिया है
` " " angle GED =126^(@) `
` rArr " "angle AGE =126^(@) " "[because angle AGE ` तथा ` angle GED ` एकांतर कोण है]
पुनः
` " "angle GED =136^(@) `
`rArr " "angle GEF+ angle FED =126^(@) `
` rArr " "angle GEF +90^(@) =126^(@) [because angle FED =90^(@) ]`
`rArr " "angle GEF =126^(@) -90^(@) =36^(@) `
चूँकि ` angle GEF` तथा ` angle GED` एक रैखिक युग्म बनाते है|
` therefore " "angle GEC + angle GED = 180^(@) `
` rArr " "angle GEC + 126^(@) =180^(@) `
` rArr " "angle GEC = 180^(@) -126^(@) =54^(@) `
`rArr " "angle FGE = 54^(@) " "[becauseangle FGE ` तथा ` angle GEC` एकांतर कोण है]
` (##RDS_HIN_MAT_IX_C08_SLV_039_S01.png" width="80%">