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angle BCD=48°
Step-by-step explanation:
Given,angle abc=120°,angle cde= 108°
We draw a line df from the point d
angle abc= angle fgc (consecutive interior angles)
angle fgc = 120°
In triangle gcd...
angle fgc + angle cgd = 180° ( linear pair angle)
120°+angle cgd = 180°
angle cgd = 180°–120°
angle cgd = 60°
angle cde+angle cdg = 180° ( linear pair angles )
108°+angle cdg = 180°
angle cdg = 180°–108°
angle cdg = 72°
In triangle gcd
angle cgd + angle cdg + angle bcd = 180°
60°+72°+ angle bcd = 180°
132° + angle bcd = 180°
angle bcd = 180°–132°
angle bcd = 48°
answer is 48°
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