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Asked by vikasg13.hardware | 28 Jun, 2018, 06:16: AM
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begin mathsize 16px style Let space angle DAE equals angle DFE equals straight x Using space mid space point space theorem comma AB parallel to EF angle AFE equals angle BAE equals 40 degree space space space space space space left parenthesis straight i right parenthesis space Alternative space angles angle FEC equals angle ABC equals straight y space space space space space space space space space space space space left parenthesis ii right parenthesis consecutive space angle In space increment ADE angle AED equals 180 degree minus 90 degree minus straight x space space space space space space space space space space space space equals 90 degree minus straight x............. left parenthesis iii right parenthesis straight y plus 40 degree plus 90 degree minus straight x equals 180 degree......... left parenthesis iv right parenthesis space space Adding space left parenthesis straight i right parenthesis comma space left parenthesis ii right parenthesis comma space left parenthesis iii right parenthesis comma space left parenthesis iv right parenthesis In increment FDE straight y equals angle DFE plus angle FDE space space space space space space space space space space space space space left parenthesis straight v right parenthesis space Exterior space angle Solving space left parenthesis iv right parenthesis space and space left parenthesis straight v right parenthesis space and space put space value space of space straight y space in space left parenthesis iv right parenthesis space we space get space straight x plus 90 degree minus angle ADF plus 40 degree plus 90 degree minus straight x equals 180 degree angle ADF equals 40 degree end style

Answered by Sneha shidid | 05 Jul, 2018, 10:54: AM

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