You can put this solution on YOUR website!
12. The triangle UWY is a 30 60 90 triangle, with the supplementary angle to U being the 60 degree angle. Therefore, angle U is 120 degrees, and an obtuse angle.
The triangle VUX is a 60 60 60 equilateral triangle, as the angle supplementary to angle U on line VY is 60. This makes the angle adjacent to V in triangle ZVY 120 degrees, which is again an obtuse angle.
Angle x is given as 60 degrees.
Angle Y is given as 30 degrees. They are complementary nonadjacent angles.
The angle supplementary to angle UVZ is angle UVX.
Segments AK and DK are perpendicular, as the angles between them are 20+25+45 = 90 degrees.
Segments DK and KF are perpendicular, as the angles between them are 60 and 30 = 90 degrees.
Segments EK and KG are perpendicular, as the angles between them are 30 and 60 = 90 degrees.
As to answering the first part, you could have a variety of angles, the main feature would be vertical angles, The angles can be described as acute, obtuse, perpendicular, congruent, complementary or supplentary.
4*5 = 20 * 6 = 120.
2x + 10 = 120
2x = 110
x = 55.