please give me the answer
Answers
Answer:
125+f=180. (linear pair)
f=55
e=55. (vertically opposite angle)
Step-by-step explanation:
d=125. co interior angle
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Answer:
4) x = 70; y = 60
5) diagram
6) a = 55; b = 125; c = 55; d = 125; e = 55; f = 55;
7)x = 55; y = 125; z = 125;
x = 115; y = 140; z = 40;
Step-by-step explanation:
4) 50+x=120(exterior angle property)
this implies x = 70
by linear pair property;
y+120=180
this implies y=60
5) drawing
6)e+125=180 linear pair
this implies e=55
f=e=55 (vertically opposite angles property)
f=c=55 (corresponding angles are equal)
c=a=55 (vertically opposite angles property)
d=125 (corresponding angles are equal)
b=d=125 (vertically opposite angles property)
7)part 1:x=55 (vertically opposite angles property)
x+y=180 (linear pair)
this implies y=180-x=180-55=125
y=z=125 (vertically opposite angles property)
part 2: z=40 (vertically opposite angles property)
y+z=180 (linear pair)
this implies y=180-40=140
40+25+x=180 (angles on a straight line are supplementary)
this means x=180-65=115
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