Thanks ever so much for the help. I had some courage and tried the entire sheet on my own and I'm proud to say I'm a little bit over 2/3 of the way done. Could somebody explain where to go from this point if I have the following correct answers? By the way, the order I solved for them is listed below; tell me if this is logical.
m<15 = 80 degrees; 160/2 = 80.
m<2 = 40 degrees; given
m<13 = 40 degees. arc AF = 160, arc BD = 80 (how do i know this?) -> 160-80=80 -> 80/2 = 40.
m<1 = 40; alt. interior angles
m<4 = 80 (why?)
m<7 = 100; m<7 + m<4 must add up to 180 degrees.
m<3 = 20; m<1 + m<2 + m<4 = 160, 180-160 = 20
m<5 = 80; central angle equals arc
m<6 = 40; property of geometry, forget name
m<8 = 40; m<7 + m<6 = 140, 180-140 = 40
m<20 = 90; by the triangle sum theorem, the triangle to the left of the triangle with <20 has a right angle; the right angle is adjacent to <20 and the two angles must add up to 180.
m<21 = 90; same reason as above
m<19 = 50; triangle sum theorem, m<20 + m<2 = 130, 180-130 = 50
m<11 = 60; by the triangle sum theorem, the vertical angle across from <11 equals 60.
m<12 = 120; linear pair postulate? <11 and <12 MUST add to 180, so 180-60 = 120.
Anyone want to show me where to go and to maybe explain some of the properties in my proof above? Much appreciated again guys.
