[Video] Q13: Triangle fgh is inscribed in the circle above. if arc fg is congruent to arc gh, and the measure of angle g is 30°, what is the measure of angle h?

Explanation for Question 13 From the Math (No Calc) Section on the 2019 March Sat

Question 13 says triangle F G H is inscribed in the circle above 2 it. If arc F G is congruent to arc G H and the measure 3 of angle G is 30 degrees. What does the measure of angle H so 4 if AHRQ, F G is congruent to Archie H that 5 means the angles F and angle H are 6 equal to each other. We also know that angle G 7 is 30 degrees. So now all we have to do is subtract 30 8 degrees from 180, 9 which is the total amount of all three angles added together. 10 And that gives us 150, 11 and then we need to divide that by two. 12 And that'll tell us what's what X equals. And that equals 75. 13 Therefore, both angle F and angle H are equal to 75. 14 And the answer here is.