Question

Can anyone solve this?

Answer 1

Answer:

x = 11.83°

Step-by-step 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°