Answer:
x = 5; m<1 = 69
Explanation:
We know that the two angles with degrees 20x+11 and 25x-14 are vertical angles and are thus congruent or equal. Therefore, we can set the two angles equal to each other to find x:
![20x+11=25x-14\\20x+25=25x\\25=5x\\5=x](https://img.qammunity.org/2023/formulas/mathematics/high-school/1xhvjaxdns4jegyacctlvsoyu764w8kapv.png)
If we plug in x into any of the two angles, we find the measure of both angles is 111.
The most probable relationship between angle 1 and the other two angles is supplementary, which means that the measure of angle 1 and any of the two angles beside it is 180.
To find m<1, represented as x, we can use the equation:
![180=20(5)+11+x\\180=111+x\\69=x](https://img.qammunity.org/2023/formulas/mathematics/high-school/u2nvgrcswxy9iye6smuqnqyfme2hjdu1kp.png)