### Home > CC3 > Chapter 9 > Lesson 9.2.2 > Problem 9-78

9-78.

Solve for *x*. Each part is a separate problem. Homework Help ✎If

*m*∠1 = 3*x*– 18° and*m*∠5 = 2*x*+ 12°, find*x*.If

*m*∠3 = 4*x*– 27° and*m*∠6 =*x*+ 39°, find*x*.If

*m*∠4 = 49° and*m*∠6 = 5*x*+ 41°, find*x*.

Angles 1 and 5 are corresponding angles. Since lines *a* and *b* are parallel, the angles are equal.

*x* = 30°

Angles 3 and 6 are alternate interior angles. Since lines *a* and *b* are parallel, the angles are equal.

Angles 4 and 6 are supplementary because the lines cut by the transversal are parallel.

49 + (5*x* + 41) = 180