Math 120 Worksheet 3 Name 1 Find all missing angles 224 5 24

Math 120 Worksheet 3 Name: 1. Find all missing angles 2-24 5 24 15 16 12 13 1718

Solution

m(9)=114 as they are vertically opposite angles.

m(8)+m(9)=180 (as 8 and 9 angles lie on the same line)
m(8)=180-114=66

m(8)=m(10)=66 (Vertically opposite angles)

m(6)=24 (vertically opposite)

m(6)+m(4)+m(8)=180
24+m(4)+66=180
m(4)=90

m(1)=m(2)=m(3)=m(4)=90

m(4)=m(15)=90; m(3)=m(16)=90; m(6)=m(14)=24;m(7)=m(11)=180-24=156 (All these are alternate interior angle pairs)

m(14)=m(12)=24;m(13)=m(11)=156;m(16)=m(17)=90;m(15)=m(18)=90;m(5)=m(7)=156 (vertically opposite angle pairs)