Answer:
x = 44°
y = 136°
Step-by-step explanation:
The angle opposite of 92 degree angle (the one that makes "cross" sign) is 92 degrees because of vertical angles.
Since two sides of triangle are equal ("||" sign), then the opposite angles are equal, so the other angle is "x" as well.
So, for the triangle we have the 3 angles as:
92, x, and x
Sum of 3 angles in triangle is 180, so we write an equation and solve for x:
92 + x + x = 180
2x + 92 = 180
2x = 88
x = 88/2
x = 44
Now, this "x" and "y" make a straight line (straight angle). Straight angle is 180 degrees, thus we can write:
x + y = 180
44 + y = 180
Solving for y, we have:
44 + y = 180
y = 180 - 44
y = 136
