<PRE><B>Question 485680</B>
I solved this using simultaneous equations.
2x + 3 + y - 2 = 90
2x -y + x -1 = 90
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2x + y + 1 = 90
3x - y - 1 = 90
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2x + y = 89
3x - y = 91  (add the equations)
5x = 180
x = 36 degrees.

plugging into the first equation 
72 + y + 3 -2 = 90
y = 17 degrees.

So, 
Angle L = 17 - 2 = 15 degrees
Angle M = 2(36) + 3 =  75 degrees 
Angles L + M = 90 degrees.


Angle N = 2(36) - 17= 55 degrees.
Angle P = 36 - 1 = 35 degrees.
Angles N + P = 90 degrees.

Cleomenius.




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