Question

The figure below shows a transversal t which intersects the parallel lines PQ and RS:

Write a paragraph to prove that the measure of angle 4 is equal to the measure of angle 8.

Answer 1

There are many ways to prove this, but the quickest and easiest way is to use the property of corresponding angles. If two lines are parallel with a line intersecting them both, their corresponding angles formed by the intersecting line are equal.
In this case, the corresponding angles are:
1 and 5
2 and 6
3 and 7
4 and 8
Since angle 4 and 8 are corresponding angles, they are necessarily equal. 

Answer 2

Answer:

For the proof, check the explanation part.

Step-by-step explanation:

In the given figure, the lines PQ and RS are parallel and line t is transversal.

It is required to prove that measure of angle 4 is equal to measure of angle 8.

Now, measure of angle 4 will be equal to measure of angle 6 because they are the alternate interior angles.

Now, the measure of angle 6 will be equal to measure of angle 8 because they are the vertically opposite angles.

So, form the above information, it can be concluded that,

$\angle 4=\angle 6\\\angle 6=\angle 8\\\angle 4=\angle 8$

Hence proved.

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https://brainly.com/question/12017716?referrer=searchResults