Question

The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?

Answer 1

x = 7

Explanation:

The 2 angles are adjacent and sum to 180° , that is

11x + 8 + 12x + 11 = 180

23x + 19 = 180 ( subtract 19 from both sides )

23x = 161 ( divide both sides by 23 )

x = 7