In the fig. PQRS is a Parallelogram. Find the value of x and y.
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Answer:
5x+10=110. (since opposite angles are equal)
=5x=110-10
=5x=100
=x=100/5=20
and 2y+10=180-110. (since angle opposite to this angle just lie adjacent to 110 and sum of adjacent angles is 180
hence, 2y +10=70
2y=70-10
=2y=60
=y=60/2=30
hence the value of x=20 and y =30
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Step-by-step explanation:
In a parallelogram, opposite angles are equal
110=5x+10
110-10=5x
100=5x
100/5=x
x=20
Adjacent angles of a parallelogram are supplementary
110+(2y+10)=180
2y+10=180-110
2y=70-10
y=60/2
y=30
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