angle1 = 27°(given)
angle ABC=90° (Given)
angle ABC+angle DBC=180°(Forming complete angle)
90°+angle DBC=180°
angleDBC=180°-90°=90°
angle ABC=angle EBD (vertically opposite angles are equal)
so ,angle EBD=90°
Angle1 = angle CBG (Vertically opposite angles)
so Angle CBG=27°
Angle FBD= angle 1 +angle EBD
=27°+90°
=117°
angle FBD +angle FBA= 180°(forming complete Angle)
117°+angle FBA= 180°
angle FBA =180°-117°
=63°
angle FBA=angle DBG(vertically opposite angles)
angle DBG=63°
angle EBG=Angle EBD+angle DBG
=90°+63°
=153°