Q. 1325.0( 2 Votes )

In Δ DEF, D = 60°, E = 70° and the bisectors of E and F meet at O. Find

(i) F

(ii) EOF.

Answer :

Given: D = 60°, E = 70°


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


In Δ DEF


D + E + F = 180°


60° + 70° + F = 180°


F = 180° - 130° = 50°


Bisector of E will be 35°


Bisector of F will be 25°


Joining the bisector of E and F at O will make a Δ EOF


Where OEF = 35°


And OFE = 25°


By angle sum property


OEF + OFE + EOF = 180°


EOF + 35° + 25° = 180°


EOF = 180° - 60° = 120°


Result:- EOF = 120°


F = 50°


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