Question

Use the angle relationship in the figure below to solve for x. Assume that line A and line B are parallel, line C is a transversal and the given angles are given in

degrees
AC
4x+29
12x+55
B

Answer 1

x = 6

Explanation:

The 2 angles given are same- side interior angles and are supplementary, thus

4x + 29 + 12x + 55 = 180, that is

16x + 84 = 180 ( subtract 84 from both sides )

16x = 96 ( divide both sides by 16 )

x = 6