i need help with these geometry problems (links are to the questions.)

Question

https://i.stack.imgur.com/3zlTr.jpg

https://i.stack.imgur.com/LoHQB.jpg

Answer 1

For question 1 use the theorem that opposite angles of an inscribed quadrilateral are supplementary.

For question 2 use the theorem that the measure of an inscribed angle equals half the measure of its intercepted arc.

For question 3 use the fact that the center of the circle will be the midpoint of diameter and the length of the radius will be half the length of the diameter. And that fact that the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) are the center of the circle and r is the radius.

For questions 4 and 5 use the theorem that the measure of the angle where two chords intersect is the average of the measure of the arcs intercepted by that angle and of its vertical angle.

Question 6 is missing the illustration inside the circle.