The value of x is 125 degrees and y is equal to 75 degrees
To solve this problem, we have to use some theorems on angles.
Sum of Angles
The sum of angles in a triangle is equal to 180 degrees.
Let the unknow side be represented by z
[tex]50+75+z=180\\125+z=180\\z=180-125\\z=55[/tex]
Using the value of angle z, we can solve for x.
x + z = 180 degree
Reason: Angles on a straight line is equal to 180 degrees
[tex]z+x=180\\55=x=180\\x=180-55\\x=125^0[/tex]
The value of x is equal to 125 degrees
From this, we can solve for angle y.
Angle y = 75 degrees
Reason; alternate angles are equal to each other.
from the calculations above, the values of the unknown are
- x = 125 degrees
- y = 75 degrees
Learn more on theorems of angles here;
https://brainly.com/question/24839702
