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
Administrator • Oct 4, 2018
Okay, the question was wrong - and it's been fixed now. The question is - Find the angle OAB.
Member • 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.
