Question

in figure if AB parallel to DF AD parallel to FG ANGEL BAC equal TO 65 degree ACB is equal to 55 degree find FGH

Answer 1

angle BAC=65'
angle ABC=55'
AB=DF
AD=FG
ANGLE BAC=ANGLE EFG=65'
ANGLE ABC=ANGLE FEG=55'
ANGLE FGE=65'-55'
=10'
EGH=180'
FGH=180'-10'
FGH=170'

Answer 2

Answer:

Step-by-step explanation:

Angle BAC = 65° and angle ACB = 55°

(Given)

Angle ACB = Angle ECD = 55° (vertically opp. angles)

angle BAC = Angle CDE = 65° (Alternate int. angles)

angle CED = 180- (angle ECD+ Angle EDC)

= 180 - (55+65)

= 180 - 120

angle CED = 60°

angle FEG = angle CED =60° (vertically opposite angles)

angle EFG = angle CDE = 65° (alternate int. angles)

angle FGH = angle GFE + angle GEF (exterior angle property)

angle FGH = 65 + 60

angle FGH = 125°

Hope it helps you !!