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Circles

SAT Math· difficulty 4/5

Triangle ABC is inscribed in a circle, with AB being a diameter. If angle BAC = 35°35°, what is the measure of angle ABC?

  • A

    90°90°

  • B

    145°145°

  • C

    55°55°

    check_circle
  • D

    35°35°

Explanation

Since AB is a diameter, angle ACB = 90°90° (Thales' theorem). Angles sum to 180°: 35+90+x=18035 + 90 + x = 180, so x=55°x = 55°.

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