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Question

The angles in a rectangle are given by (x+30) and (y+50) respectively. What other information is required to find the value of x+y ?

A
We need the value of x so that we can find one angle and then find y using the value of x
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B
We need the value of y so that we can find one angle and then find x using the value of y
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C
No extra information is necessary and x+y=90
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D
No extra information is necessary and x+y=100
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Solution

The correct option is D No extra information is necessary and x+y=100
We know that in a rectangle, all angles are equal to 90.
So, the angles (x+30) and (y+50) need to be equated to 90 respectively. This gives us the following equations:

(x+30)=90 and
(y+50)=90

Solving these equations, we get x=60 and y=40 respectively and therefore, x+y=100.

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