### Home > GB8I > Chapter cc46 > Lesson cc46.3.3 > Problem 6-110

6-110.

Refer to the diagram at right. Homework Help ✎6-110. If

*m*∠1 = 74º and*m*∠4 = 3*x*− 18º, write an equation and solve for*x*.If

*m*∠2 = 3*x*− 9º and*m*∠1 =*x*+ 25º, write an equation and solve for*x*. Then determine*m*∠2.

3*x* − 18 = 74

3*x* = 92

*x* = 30.6°

Disregard your calculations for angle measure from part (a).

Since the lines are parallel, angles 1 and 2 have equal measure.

*x* = 17°, m∠2 = 42°