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Question

In the following figure, 1=2y+25, 2=x+15. Find x and y, if 2y+25=3y.


A
x=60, y=20
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B
x=65, y=25
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C
x=65, y=20
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D
x=60, y=25
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Solution

The correct option is D x=60, y=25
Given: 1=2y+25
and 2=x+15
2y+25=3y

25=3y2y=y
y=25

1=2y+25=2×25+25
1=75

Here, both the lines intersect at O, thus vertically opposite angles 1 and 2 will be equal.
1=2
2=75
x+15=75
x=60
Thus, the value of x=60 and y=25.

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