A diameter is a line which goes from a point on the circle to another point on the circle through the center. Or in other words, a chord which goes through the center.
The second answer is 30°.
Angle 6 and 7 are what we called the vertical angles or angles which are back to back, on the intersection of two lines. And vertical angles are always equal.
So we all know diameter is the width across the circle and radius is half of the diameter.
So since we know what diameter is, that would make #1) AC or the second option
For number two in case you don't know, angles 6 and 7 are vertical angles. Which, are CONGRUENT! YAY! That always makes it so easy! So if angle 6 is 30°, angle 7 will be, YES!! 30°! So easy!
So the answer to #2) 30<span>°</span>, or 4th option!