SOLUTION: I have a picture with segment XY is perpendicular to segment YW. Ray YZ forms two angles within the 90 degrees of angle XYW. these ar identified as angle x (angle XYZ) and angle

Question 212961This question is from textbook Geometry for Enjoyment and Challenge
: I have a picture with segment XY is perpendicular to segment YW. Ray YZ forms two angles within the 90 degrees of angle XYW. these ar identified as angle x (angle XYZ) and angle y (angle ZYW). The next picture i have has segment AB is perpendicular to segment BC. A segment BD is within this 90 degrees showing angles (2x)degrees (angle ABD) and (y-50) degrees (angle DBC). I need to find the measure of angle DBC.
I used two equations and two unknowns and came up with x =50 degrees and y = 40 degrees. that doesn't work when i use y=40 in the second picture with the angle DBC = (y-50)degrees. This would make that angle a negative number. This question is from textbook Geometry for Enjoyment and Challenge

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I have a picture with segment XY is perpendicular to segment YW. Ray YZ forms two angles within the 90 degrees of angle XYW. these ar identified as angle x (angle XYZ) and angle y (angle ZYW). The next picture i have has segment AB is perpendicular to segment BC. A segment BD is within this 90 degrees showing angles (2x)degrees (angle ABD) and (y-50) degrees (angle DBC). I need to find the measure of angle DBC.
I used two equations and two unknowns and came up with x =50 degrees and y = 40 degrees. that doesn't work when i use y=40 in the second picture with the angle DBC = (y-50)degrees. This would make that angle a negative number.
:
That's true but that has to be the answer, if x=50 then ABD = 100 then DBC has to
be 40 - 50 = -10: 100 - 10 = 90 degrees. I think you did it right!
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