Math, asked by 13melon22, 1 month ago

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Answered by rudrauparkar
0

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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