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In question no. 1 us linear pair
x + 40 = 180 (linear pair)
x= 180-40
x= 120
therefore x and z are vertical opposite angle so, z is also equal to 120
And Y = 40 (vertical opposite angle.
Step-by-step explanation:
In question no. 2
40+x+30 = 180 (straight line angle)
x+70= 180
x = 180-70
x = 110
Y + 40 = 180 (linear pair)
Y= 180-40
Y = 140
for Z
Y + Z = 180 (linear pair)
Y= 140
so, 140+ Z = 180
Z = 180-140
Z= 40
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