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1 answer:
It is proved that the line c is parallel to line d.
<h3>What is defined as the supplement angles?</h3>- If two angles add up to 180 degrees, they are described as supplementary angles.
- When supplementary angles are combined, they establish a straight angle (180 degrees).
- In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Supplementary angles can be either adjacent or not.
- As a result, there are two kinds of supplementary angles. Every one of these kinds of supplementary angles is discussed further below.
- supplementary angles adjacent
- Non-contiguous supplementary angles
For the given question;
Angle 2 and angle 3 are supplement;
∠2 + ∠3 = 180 ......eq 1
See from figure.
∠4 = ∠3 (vertically opposite angles)
Thus, replacing ∠3 with ∠4 in eq 1.
∠2 + ∠4 = 180 (linear pair)
As ∠2 and ∠4 form the linear pair. Thus, line c is parallel to line d.
Therefore, line c proved to be parallel to line d.
To know more about the supplement angles, here
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