In figure1.55, ∠ABC=75°,∠EDC=75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.
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Answer:
Δ ABC ~ Δ EDC
AC/EC = BC/DC= AB/ED
Step-by-step explanation:
in Δ ABC
∠ABC = 75 °
∠BCA = x °
∠BAC = 180° - 75° - x° = 105 - x°
in Δ EDC
∠EDC = 75 °
∠ECD = x °
∠CED = 180° - 75° - x° = 105 - x°
∠ABC = ∠EDC
∠BCA = ∠ECD
∠BAC = ∠CED
All the angles are same hence
Δ ABC ~ Δ EDC ( AAA Similarity )
AC/EC = BC/DC= AB/ED
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