6) Since these are parallel lines with a transversal, angle 9x+2 is equal to the bottom right exterior angle. The bottom right exterior angle and 4x+22 are equivalent to 180° because their angles are on a line. Lines=180°.
180°=(9x+2)+(4x+22) 180=13x+24 Subtract 24 from both sides 156=13x Divide both sides by 13 12= x
Substitute x=12 to solve both equations
9x+2=9(12)+2= 110° 4x+22=4(12)+22= 70°
7) 180=(16x-6)+(16x-6) 180= 32x-12 Add 12 to both sides 192=32x Divide both sides by 32 6=x
16x-6= 16(6)-6= 90° 16x-6= 16(6)-6= 90°
8) These are alternate exterior angles and are equivalent to each other.
14x-10=12x+10 Add 10 to both sides 14x= 12x+20 Subtract 12x from both sides 2x= 20 Divide both sides by 2 x=10
14x-10=14(10)-10= 130° 12x+10=12(10)+10=130°
9) 180=(x+134)+(x+64) 180=2x+198 Subtract 198 from both sides -18=2x Divide both sides by 2 -9=x
x+134= (-9)+134=125° x+64= (-9)+64=55°
Notice that answers to 6, 7 and 9 add up to 180° (degrees in a line). And the answers to 8 are equal to each other.
Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.
