PLEASE HELP! I HAVE A TIME LIMIT AND IM BEHIND
When a transversal intersects a
pair of parallel lines it will create
two pairs of alternate exterior
angles.
Ricky claims the angles within
each pair are congruent to each
other, but not congruent to
either angle in the other pair.

PLEASE HELP I HAVE A TIME LIMIT AND IM BEHIND When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles Ricky class=

Respuesta :

Answer:

Part A none

Part B drawn

Step-by-step explanation:

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.

Similarly angles 3 and4 are supplementary angles.

This situation does not support Ricky's claim. So you will select none in part A.

Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

Ver imagen akiran007

The part A none and for part B drawn.

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

What is the meaning of the supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

But <1 and < 2 are not equal because they are supplementary angles. and the sum is equal to 180 degrees.

Similarly angles 3 and 4 are supplementary angles.

This situation is not support Ricky's claim so select none in part A.

Now for  part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary

Therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

Therefore for the part A none and for part B drawn.

To learn more about the transversal visit:

https://brainly.com/question/24607467