MATH SOLVE

10 months ago

Q:
# 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.

Accepted Solution

A:

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.

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.