Solve for x. Each part is a separate problem. Homework Help ✎
If m∠1 = 3x – 18° and m∠5 = 2x + 12°, find x.
If m∠3 = 4x – 27° and m∠6 = x + 39°, find x.
If m∠4 = 49° and m∠6 = 5x + 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 + (5x + 41) = 180