Answered

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HELPPPPP!!

Sarai loves music and decides to paint a music staff on her bedroom wall. She knows that it is important to make the lines parallel, or the end result will not look correct. She pencils in the image below, but before she uses paint, she wants to make sure the lines are parallel. Remembering what she has learned in Geometry class, she uses a piece of tape to make a transversal and decides to measure some angles.

Using Sarai’s measurements, Line 1 must be parallel to Line 3 according to which postulate or theorem?


Can you also please explain how you got the answer? thank you <3

HELPPPPP Sarai Loves Music And Decides To Paint A Music Staff On Her Bedroom Wall She Knows That It Is Important To Make The Lines Parallel Or The End Result Wi class=

Sagot :

Using Sarai's measurements, Line 3 must be parallel to Line 5 by option (A) Converse of Alternate Exterior Angles Theorem.

What is the Alternate Exterior Angles theorem?

The alternate Exterior Angles theorem states, "If two lines are parallel and they are intersected by the same straight line then the alternative exterior angles formed by the figure are equal to each other."

The converse of this theorem states that "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."

Here in Sarai's measurement, we can conclude that Line 3 and Line 5 are intersected by one straight line, and the formed alternate exterior angles both are 65, which shows they are equal to each other.

Hence by Converse of the Alternate Exterior Theorem, we can say that both lines are parallel to each other.

So, Line 3 must be parallel to Line 5 according to the Converse of Alternate Exterior Angles Theorem.

Hence Option (A) is correct.

Learn more about Alternate Exterior Angles here -

brainly.com/question/2398628

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