Solve : Triangle Problem :What Will Be The Answer To This Question ?

There is one question asked in Aptitude Test 1 in Aptitude section on CE. 

Could anyone please solve and let us know the correct answer.

There is triangle ABC with AB = AC and angle ABC = 40. If O is the center of the circle inscribed in triangle ABC, then find angle OAB. 

Answer Options: 20, 50 80, 100

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  • Kaustubh Katdare

    Kaustubh Katdare

    @thebigk • Oct 4, 2018

    Okay, the question was wrong - and it's been fixed now. The question is -  Find the angle OAB. 

    0
  • Lyra Lestrange

    Lyra Lestrange

    @lyra-28spm9 • Oct 4, 2018

    Knowns:

    O is the center of the isosceles triangle with sides AB and AC equal, 

    Angle ABC = 40 

    Consequently, Angle ACB = 40


    Unknowns: 

    Angle OAB = 1/2 of angle BAC


    Angle BAC = 180 - sum of angles ABC and ACB (since, sum of angles of a triangle = 180

                          = 180 -  (40+40)

                          = 100


    Finally,

    Angle OAB = 1/2 of angle BAC   

                          = 1/2 of 100

                          = 50.


    The answer is 50.



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