How we are getting angles $∠ 1 + ∠ 2 + ∠ 3 = 180$

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Solution

I think you are talking about triangles
consider a $Δ A B C,$

Draw a line MN parallel to BC.
$\Rightarrow ∠ 3 = ∠ 5$ (Alternate interior \angle s)
& $∠ 2 = ∠ 4$ (Alternate interior \angle s)
Now, $∠ 4 + ∠ 1 + ∠ 5 = 180$ (Linear pair)
$∠ 1 + ∠ 2 + ∠ 3 = 180$

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After having the straight line $180^{\circ}$ , we should __ this angle to get $90^{\circ}$

After having the straight line $180^{\circ}$ , we should ___ this angle to get $90^{\circ}$

In the above figure, which one of the following is not true ( $c ∥ d, a ∥ b$ )?

(a) $∠ 1 + ∠ 5 = 180^{\circ}$
(b) $∠ 2 + ∠ 5 = 180^{\circ}$
(c) $∠ 3 + ∠ 4 = 180^{\circ}$
(d) $∠ 2 + ∠ 3 = 180^{\circ}$

\frac{1}{4}

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