Answer:
x=103 degrees
y=113 degrees
Explanation:
All the angles in a triangle add up to 180 degrees, so to find the measurement of angle x, we can use this equation and solve:
x=180-23-54
x=180-77
x=103
To find angle y, we need to understand that a straight line also has an angle of 180 degrees. This means we need to subtract the angle that is next to angle y from 180 to get angle y.
However, to find that angle that is next to angle y, we need to do the same thing we did above and find the angles of the triangle.
First, we find the angle next to x using this expression:
180-x
=180-103
=77
And now we find the measurement of the angle next to angle y:
180-77-36
=103-36
=67
And now we find angle y:
180-67
=113
Therefore, y=113 degrees
I hope this helps! Please comment if you have any questions.
