Question 486762
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.
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Angle x is given as 60 degrees. 
Angle Y is given as 30 degrees. They are complementary nonadjacent angles.
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The angle supplementary to angle UVZ is angle UVX.
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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.
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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.
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4*5 = 20 * 6 = 120.
2x + 10 = 120
2x = 110
x = 55.
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Cleomenius.