Question

ABCD is a rectangle. Two circles are drawn inside ABCD such that the circles are tangent at point G. E is the tangent point of the first circle and AB, and F is the tangent point of the second circle and BC, as shown. Find m∠EGF.

Answer 1

Answer:135 degrees

Step-by-step explanation: Pretend that the 2 circles are equal, and connect the lines that form the angle. You can draw a right triangle on the circle that is on the right, connecting 2 radii to form it. Then, because the two radii are of equal length, you know that it is a 45-45-90 triangle. Then draw a line that is from the top line and connect in to G. That line is perpendicular, so 45 degrees plus 90 degrees is 135 degrees. I hope this helps!