Question

in the given diagram angle ACD = 105° and angle EAF =45° then, the measure of angle ABC is ​

Answer 1

Answer:

In the figure the sides BC,CA and AB of a △ABC have been produced to D,E and F respectively. If ∠ACD=105

o

and ∠EAF=45

o

, find all the angles of the △ABC

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ANSWER

∠BAC=∠EAF=45

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(∵ vertically opposite angles )

∠ACB=180

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−∠ACD=180

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−105

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=75

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∠ABC=180

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−∠BAC−∠ACB=180

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−45

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−75

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=60

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