Through the vertex A of ΔABC, a line XY is drawn parallel to BC. Which of the following is correct?
A
b = y
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B
c = x
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C
a = b
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D
a+b+c = x+a+y
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Solution
The correct option is D a+b+c = x+a+y a+b+c=180∘…(1)[Sum of angles in a triangle] Also, x+a+y=180∘…(2)[Angle on a straight line] From (1) and (2), ∴ a+b+c = x+a+y