Create a cross-sectional diagram of this situation in GeoGebra, with the circumference of Earth depicted as a circle (your diagram need not be drawn to scale): Create point C for the center of Earth, point S for the position of the satellite, and points P1 and P2 for the farthest points on Earth where the signal will reach. Draw a radius from C to P1 and a line segment from S to P1. Display the measure of the angle formed at their intersection. In the space provided below, note how and are related. Use the Internet or another resource to find the approximate radius of Earth, and note it in the space provided below. Then label the lengths of and . Take a screenshot of your work, save it, and insert the image below your answers.

Well it took me a bit to understand what this even was so I just screenshotted what I got, hope it helps!

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.