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Verdich [7]
4 years ago
14

Proof:

Mathematics
2 answers:
mixer [17]4 years ago
8 0

Answer:

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

Lapatulllka [165]4 years ago
7 0

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!

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Step-by-step explanation:

As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.

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