EQUAL so, TRIANGLE ABC and DFE are similar and HENCE corresponding ANGLE will be equal∴ ∠FED = ∠BCA = 180° – (∠ABC + ∠BAC) = 180° – (60° + 80°) = 40°

"> EQUAL so, TRIANGLE ABC and DFE are similar and HENCE corresponding ANGLE will be equal∴ ∠FED = ∠BCA = 180° – (∠ABC + ∠BAC) = 180° – (60° + 80°) = 40°

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Calculate the value of angle FED from the figure shown below.

SRMJEEE Analytical Geometry in SRMJEEE 11 months ago

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AB/DF = 3.8/7.6 = 1/2BC/EF = 6/12 = 1/2AC/ED = 3√3/6√3 = 1/2As, Ratio of corresponding sides of both triangles are EQUAL so, TRIANGLE ABC and DFE are similar and HENCE corresponding ANGLE will be equal∴ ∠FED = ∠BCA = 180° – (∠ABC + ∠BAC) = 180° – (60° + 80°) = 40°

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