beautifulnoob325
beautifulnoob325 beautifulnoob325
  • 01-08-2020
  • Mathematics
contestada

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!!

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sqdancefan
sqdancefan sqdancefan
  • 15-08-2020

Answer:

  52°

Step-by-step 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°

_____

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

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