If I have a rectangle labeled DEGF, and then split it the interior into 4 triangles. (m

Question

How would I be able to find m<EFD and find x?

stanschim · Answer

The two angles must total to 90 degrees since this is a rectangle.

(2x - 3) + (x + 12) = 90

3x + 9 = 90

3x = 81

x = 27

m<efd = 2(27) - 3 = 54 - 3 = 51 degrees

If I have a rectangle labeled DEGF, and then split it the interior into 4 triangles. (m<EFD=2x-3) and (m<DFG= x+12).?