Hiroshi Hiroshi
  • 29-11-2024
  • Mathematics
High School

Circle O is shown below. what is the measure of angle bac?


43.5 degrees

46.5 degrees

93 degrees

174 degrees

Circle O is shown below what is the measure of angle bac 43 5 degrees 46 5 degrees 93 degrees 174 degrees

Answer :

CastleRook CastleRook
  • 30-10-2024
Given that AOC is the diameter and AO na d OB are the radii, then ΔAOB is an isosceles triangle. Thus the base angles ∠A=∠B
thus
∠BAC=∠A will be found as follows:
sum of angles in a triangle is 180
thus
180-87=
=93
hence
∠A=∠B=93/2=46.5°

Answer: 46.5°
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