in the given figure, line a and b are parallel to each other and c and d are parallel to each other. one angle is marked to be equal to 135 degree. find all the marked angles.
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in the given figure:-
135 = q (corresponding angle)
r + q = 180 (linear pair)
r = 45
k=135 (alternate interior angle)
p + q = 180 (linear pair)
p = 45
now, as told in question a and b are parallel and c and d are parallel hence they are forming a parallelogram
so,
z=135 (opposite angles of parallelogram are equal)
z=n (alternate interior angle)
n=135
z + s = 180(linear pair)
s=45
t+s =180(linear pair)
t=135
z + o = 180(linear pair)
o=45
now,
y+n = 180(linear pair)
y=45
n=u (vertically opposite angle)
u=135
similarly
y=v(vertically opposite angle)
v=45
also,
x+135=180(linear pair)
x=45
w=135(vertically opposite angle)
also,
x=m(vertically opposite angle)
m=45
I m not sure about the answer so u can recheck it
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0
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