in the given figure l parallel m and p parallel q , find measures of each angles of the angles a , b , c d.
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l is parallel to m and p is parallel to q.
then
(vertical opposite angle )
since , l ║ m and q is the transversal line then
(angle on the same side of the transversal )
65 +d = 180°
d = 180-65
d = 115°
now p ║q and m is the transversal line
c +d = 180°(angle on the same side of the transversal )
c + 115° = 180°
c = 180-115
c = 65°
similarly
b +c = 180°
b + 65°= 180
b = 180-65 = 115°
hence ,
The measure of the angles a, b, c, d are 65°,115°,65°,115°
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