in the given figure, Bd||CE
AC=BC, angle ABD= 20° and angle ECF=70° find angle GAC.
hint. angle DBC= angle ECF=70°
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Answer:
∠GAC = 130°
Step-by-step explanation:
AC = BC (given)
ΔABC is an isosceles triangle (2 sides equal)
∠DBA = 20° (given)
∠DBC = ∠ECF = 70° (given)
∠ABC = 70-20 = 50°
∠CAB = ∠ABC = 50° (isosceles triangle)
∠GAC = 180-∠ABC (linear pair)
∠GAC = 180-50
∠GAC = 130°
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