Multiple choice

In triangle ABC, CD is angle bisector of ( \angle C ), O is point in CD such that AO = AD and ( \angle ABC = 63^{\circ} ), then find the ( \angle OAC )

  1. $83^{\circ}$
  2. $90^{\circ}$
  3. $63^{\circ}$
  4. $60^{\circ}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CD is angle bisector of ∠C, D on AB. Given AO=AD with O on CD. Triangle AOD is isosceles. By angle chasing and properties of angle bisectors with isosceles conditions, ∠OAC = ∠ABC = 63°.

Keep practicing — related questions