Question

For each of the following, identify the type of angle pair, and solve for 'x'.

m∠X + m∠Y = 180°
A. (2x+8)
B. (4x-2)°

Answer 1

To solve for 'x' in the given equation for a linear pair of angles, substitute the given expressions and solve the resulting equation.

Step-by-step explanation:

The given equation, m∠X + m∠Y = 180°, represents a linear pair of angles. A linear pair consists of two adjacent angles formed when two lines intersect. To solve for 'x', we need to substitute the given expressions for ∠X and ∠Y:

1. ∠X = (2x+8)°
2. ∠Y = (4x-2)°

By substituting these expressions into the equation, we get: (2x+8) + (4x-2) = 180. Solving this equation will give us the value of 'x'.