Question

Proof:

Answer 1

Answer:

From the figure it i obvious that angle 2 and angle 3 are equal so option C is correct.

Answer 2

Answer:

Option B is correct

$\angle 2 = \angle 3$

Step-by-step explanation:

Given that:

$\angle 1$ and $\angle 2$ are supplementary.

prove that: $a || b$

It is given that:

$\angle 1$ and $\angle 2$ are supplementary.

By definition of supplementary

⇒$\angle 1+ \angle 2 =180^{\circ}$            .....[1]

From the figure, you can see that:

$\angle 1$ and $\angle 3$ are also supplementary.

⇒$\angle 1+ \angle 3 =180^{\circ}$            .....[2]

By [1] and [2] we have;

⇒$\angle 1+ \angle 2=\angle 1+ \angle 3$

Simplify:

$\angle 2 = \angle 3$

Since ∠2 and ∠3 are corresponding angles.

Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.

by definition we have;

$a || b$                      proved!