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Question -

In the given figure, the sides BC, CA and AB of a Δ ABC have been produced to D, E and F respectively. If ∠ACD = 105° and ∠EAF = 45°, find all the angles of the Δ ABC.



Answer -

In the given ΔABCand . We need to find .

Here, are vertically oppositeangles. So, using the property, “vertically opposite angles are equal”, we get,

Further, BCD is a straight line. So, usinglinear pair property, we get,

Now, in ΔABC, using “the angle sum property”, we get,

Therefore,

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