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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

Kaustubh Katdare
Kaustubh Katdare • Oct 4, 2018

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

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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