Question

The figure below shows a straight line AB intersected by another straight line t.

A segment AB is intersected by a transversal labeled t. Angles 1 and 3 and 2 and 4 are vertically opposite angles formed by the transversal on the segment.

Write a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3.

Answer 1

Someone please help this is my last question!):

Answer 2

@zhao.zx can ypu help im so lost?

Answer 3

they are corresponding angles
Corresponding angles are the pairs of angles on the same side of the transversal.

Answer 4

Is this right? @zhao.zx

As you can see angle 1 is equal to the measure of angle 3 how you would find that out is you look at angle Angle 1 and angle 3 they are corresponding agles. Corresponding agles have pairs of angles on the same side of the transversal.

Answer 5

Here's teh proof. <1 is supplementary to <2, and <3 is supplementary to <1 both by the definition of supplementary angles. Therefore, <1 is congruent to <3 because two angles that are supplementary to the same angle are congruent. Finally, measure of <1 = measure of <3 because of definition of congruent angles.

Answer 6

There are no corresponding angles here. There are corresponding angles when 2 lines are intersected by a transversal.