Answer:
x = 11.83°
Explanation:
Equations
The figure shows two parallel lines crossed by a line. We have completed the figure with another variable y. Please see the attached image.
Angles y and 4x+28 are linear, thus their sum is 180°:
y + 4x + 28 = 180
Angles y and 8x + 10 are corresponding, thus
y = 8x + 10
Substituting:
8x + 10 + 4x + 28 = 180
Simplifying:
12x + 38 = 180
Subtracting 38:
12x = 142
Dividing by 12
x = 11.83°