48 points me with one geometry question i'm hi, a brotha out i have a 36 at the moment and i am very close to graduating. however, i'm only failing geometry. graduation is in 48 days me explain it if you could, but if you can't that's alright

Looks like the line through and is tangent to the circle. It also looks like the is supposed to represent the measure of the arc .

So we know the measure of the central angle subtended by the arc is also . What this means is, if you were to draw a line from to the circle's center (call it ), and another from the center to , these two lines would form an angle of in the "direction" of the minor arc .

Now forms an isosceles triangle. We know that because the line segments and both have lengths equal to the circle's radius. Because is isosceles, the angles in the triangle that don't coincide with the central angle we already know about must have the same measures. We call them both .

The interior angles of a triangle always add up to , so we can easily find :



Finally, the line segments and are perpendicular; this is true because is tangent to the circle. This means the angles and the one indicated by "?" are complementary and add to .

So, .