Triangle angle theorems instruction active proving the sum of the interior angle measures of a triangle is 180°

Given: y║z

Using given statement:

From the figure, we have

By the definition of straight angle, .

By the angle addition postulates in we have;

The Alternate Interior Angles theorem states:

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Since , then by alternative interior angle theorem we have  

and

We know that : then by the substitution of and we get,

See the attached picture

Step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.