Maths-
SAT
Easy

Question


Triangle FGH is inscribed in the circle above. If arc stack F G with overparenthesis on top is congruent to arc stack G H with overparenthesis on top , and the measure of angle G is 30°, what is the measure of angle H ?

  1. 30°
  2. 60°
  3. 75°
  4. 120°

The correct answer is: 75°


    stack F G with hat on top approximately equal to stack G H with hat on top
    rightwards double arrow angle H equals angle F
    angle G plus angle F plus angle H equals 180
    30 plus 2 angle H equals 180
    2 angle H equals 180 minus 30 equals 150
    angle H equals 75

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