Hey I'm in flvs too but I have a different teacher, what class and module is your DBA for?
A circle is a geometric object that has symmetry about the vertical and horizontal lines through its center. When the circle is a unit circle (of radius 1) centered on the origin of the x-y plane, points in the first quadrant can be reflected across the x- or y- axes (or both) to give points in the other quadrants.
That is, if the terminal ray of an angle intersects the unit circle in the first quadrant, the point of intersection reflected across the y-axis will give an angle whose measure is the original angle subtracted from the measure of a half-circle. Since the measure of a half-circle is π radians, the reflection of the angle π/6 radians will be the angle π-π/6 = 5π/6 radians.
Reflecting 1st-quadrant angles across the origin into the third quadrant adds π radians to their measure. Reflecting them across the x-axis into the 4th quadrant gives an angle whose measure is 2π radians minus the measure of the original angle.
Your first equation would be:
65 + 3x - 10 + 2x = 180
Then simplify to get:
5x + 55 = 180
Subtract 55 from each side:
5x = 125
Now divide by 5 to find x:
x = 25
The measure of angle B = 65
The measure of angle C = 50
Hope this helps!! :)
What part do you not understand?