The answer: the full question is as follow: <span>Point F is on circle C. What is the length of line segment GF?
12.5 units 15.0 units 17.5 units 20.0 units
according to the image, GF= GC + CF
CF is the radius of the circle, so it is CF =CE = 7.5 all that we want to find is the value of GC let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem
that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )
GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5 <span> therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0 the answer is 20.0 units
Explanation: Angles in a triangle sum to 180 Add the two angles given and subtract it from the total sum of angles to find the missing interior angle - 75 + 40 = 115 180 - 115 = 65 Now that we have the interior angle, we can work out the exterior angle by subtracting it from 180 180 - 65 = 115
