Question

Points A and B are on ⊙O and m∠AOB=76. If △AOB is drawn, find m∠OAB. NO OTHER INFORMATION WAS GIVEN WITH THIS QUESTION!!

Answer 1

52°

Explanation:

Angle AOB is the a.pex angle of the isosceles triangle AOB.* Then angles at A and B are congruent and each is the complement of half the angle at O:

∠OAB = 90° -(1/2)(76°) = 90° -38°

∠OAB = 52°

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* You know ΔAOB is isosceles because OA and OB are both radii of the circle, hence the same length.