Answer:
<u>XZ is longer than XY</u>
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
<u>XZ is longer than XY</u>
Allen's claim that we do not have enough information to solve for angle 1 is incorrect
<h3>How to calculate the measure of angle 1</h3>
Given that:
Angle 2 = 110 degrees
Angle 1 and angle 2, are the only angles on the straight line.
So, we have:

Substitute 110 for angle 2

Subtract 110 from both sides

The measure of angle 1 is 70 degrees.
So, we can conclude that Allen's claim is incorrect
Read more about angle theorems at:
brainly.com/question/6766389