The Missing values are:
x=19
Angle B = 29 degrees
Angle A = 21 degrees
A triangle with angles B, A, and C, and you're given some relationships between these angles:
B = y + 10
A = y + 2
C = 130°
The sum of the angles in any triangle is always 180 degrees. So, you can set up an equation using the given angles:
B + A + C = 180
Substitute the expressions for B, A, and C:
(y + 10) + (y + 2) + 130 = 180
Combine like terms:
2y + 12 + 130 = 180
2y + 142 = 180
Subtract 142 from both sides:
2y = 180 - 142
2y = 38
Divide both sides by 2:
y = 38 / 2
y = 19
Now that you've found y, you can substitute it back into the expressions for B and A:
B = y + 10
B = 19 + 10
B = 29
A = y + 2
A = 19 + 2
A = 21