Answer:
6) 121 degrees
7) x=7
8) x=13
Step-by-step explanation:
6) Extending lines to make a trapezoid & using supplemental angles to get corner angles of 3 corners of the trapezoid.
Each corner angle =180-the two supplemental angles.
360-82-64-133=81 degrees
180-81-40=59
180-59=121
7) The central angle of an octagon (for each segment) is 45 degrees.
180-45=135 degrees which is equal to 16x+23
16x+23=135
16x=112
x=7
8) Not sure exactly how to explain this but here goes:
m1=180-(3x-6)-41=133-3x
m2=180-(7x-11)-62=129-7x
m3=180-(4x+7)-(6x-5)=178-10x
m1+m2+m3=180
133-3x+129-7x+178-10x=180
-20x+440=180
-20x=-260
x=13
