Ques) Find x and y,if AB and CD are parallel.
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Answer:
x=30, y=40
Step-by-step explanation:
2x+10 = 2y-10 [alternate angles]
=> 2y-2x=20
=> 2(y-x)= 20
=> y = 10+x
now,
(x-5)+(2y-10)+(x+y+15)=180 [angle sum property of triangle]
=>2x+3y=180
=> 2x+3(10+x) = 180 [putting y=10+x]
=> 5x+30=180
=> x = 30
now,
y = 10+x
y = 10+30 [putting x = 30]
y= 40
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