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Step-by-step explanation:
opposite angles of a parallelogram are equal ( same)
In ll gm PQRS,
angle PTQ opposite angle PSQ ( f )
angle ( f) =75
In ll gm PSQT,
angle SRQ opposite angle SPQ( a)
angle ( a ) = 50
according to the condition, sum of angles of a triangle is 180.
In ∆PQS = a + f + d = 180
= 50 + 75 + d = 180
d = 180 - 125
d = 55
Also, the sum adjacent angles of a parallelogram is 180.
angle PTQ + b + a = 180
75 + b +50 = 180
b = 180 - 125
b = 55
similarly, g = 55
In ∆ SPQ , according to angle sum property,
angle ( e) = 180 - 105
e = 75
c + d +e = 180. linear pair
angle ( c) = 180 - 130
= 50
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