Question

Find the value of x.

Answer 1

x = 4

Explanation:

The angle next to (adjacent to) 19x + 3 is 180 degrees less (19x + 3):

180 - (19x + 3)

and the three interior angles of the triangle must sum up to 180 degrees:

11x - 2 + 180 - 19x - 3 + 9x + 1 = 180, or

11x - 2 - 19x - 3 + 9x + 1 = 0

Combining like terms, we get:

x = 4