SOLUTION: its a geometry question http://ebooks.maconk12.org/Geometry/docs/chap01.pdf can u answer 12 , 14 and 16 from page 42 and if u can please answer 38 , 40 and 42 on page 43

Question 486762: its a geometry question
http://ebooks.maconk12.org/Geometry/docs/chap01.pdf

can u answer 12 , 14 and 16 from page 42
and if u can please answer
38 , 40 and 42 on page 43
Thank you
Answer by cleomenius(959) (Show Source): 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.
14==========================================================================
Angle x is given as 60 degrees.
Angle Y is given as 30 degrees. They are complementary nonadjacent angles.
16===========================================================================
The angle supplementary to angle UVZ is angle UVX.
38===========================================================================
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.
40============================================================================
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.
42.===========================================================================
4*5 = 20 * 6 = 120.
2x + 10 = 120
2x = 110
x = 55.
==============================================================================
Cleomenius.

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