Through the vertex A of A B C- a line X Y is drawn parallel to B C-

The correct option is B a+b+c = x+a+ya+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 ...

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Byju's Answer

Standard VII

Mathematics

Parallel lines

Through the v...

Question

Through the vertex A of $Δ$ ABC, a line XY is drawn parallel to BC.

Which of the following is correct?

b = y

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c = x

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a = b

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a+b+c = x+a+y

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Solution

The correct option is D a+b+c = x+a+y
$a + b + c = 180^{\circ} \dots (1) [Sum of angles in a triangle]$
Also, $x + a + y = 180^{\circ} \dots (2) [Angle on a straight line]$
From (1) and (2),
$∴$ a+b+c = x+a+y

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Similar questions

Through the vertex A of $Δ$ ABC, a line XY is drawn parallel to BC.

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Through the vertex A of ΔABC, a line XY is drawn parallel to BC. Which of the following is correct?

The correct option is D a+b+c = x+a+ya+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

Through the vertex A of $Δ$ ABC, a line XY is drawn parallel to BC.

Which of the following is correct?

The correct option is D a+b+c = x+a+y
$a + b + c = 180^{\circ} \dots (1) [Sum of angles in a triangle]$
Also, $x + a + y = 180^{\circ} \dots (2) [Angle on a straight line]$
From (1) and (2),
$∴$ a+b+c = x+a+y