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The side BA and DC of a quadrilateral AB...

The side BA and DC of a quadrilateral ABCD are produced as shown in figure 2.19.Prove that x+y=a+b

Text Solution

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`1 + x + 2 + y = 360^@`
angle sum of property
`/_1 = 180^@ - b`
`/_2 = 180^@ - a`
now, `180^@ - b + x + 180^@ - a + y = 360^@`
`x+y = a+b`
Answer
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