Which of the following options is INCORRECT?

∠ 1 = ∠ 3

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∠ 1 + ∠ 4 + ∠ 5 = 180^{o}

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∠ 8 = ∠ 6

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∠ 1 + ∠ 3 = 180^{o}

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Solution

The correct option is D $∠ 1 + ∠ 3 = 180^{o}$
$∠ 1 = ∠ 2$ and $∠ 2 = ∠ 3$ (Alternate angles) ....(i)
So, $∠ 1 = ∠ 3$ .....From (i)
$∠ 1 + ∠ 4 + ∠ 5 = 180^{o}$ .....(Angle sum property)
Also, $∠ 8 = ∠ 6$ (alternate angles)
$∠ 1 + ∠ 3 = 180^{o}$ is not correct.
Hence, option D is correct.

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