40. identify the special angle pair name for (angle)10 and (angle)6 .

41. given l || m, m ( angle ) 2 = 72, find the m (angle) 3

42. given l || m, m (angle) 9 = 9x + 5, and m (angle) 5 = 3x + 37, find the value of x.

43. given m (angle)10 = 5x + 2, and m (angle) 6 = 3x + 28, find the value of x so that l || m

40. Alternate exterior angles

41. 108°

42. x = 4

43. x = 13

Step-by-step explanation:

40. Given l || m, line n is transversal (intersects lines m and l), then angles 10 and 6 are alternate exterior angles.

41. Given l || m, line n is transversal (intersects lines m and l), then angles 2 and 3 are same side interior angles. Same side interior angles are supplementray (add up to 180°), so if m∠2=72°, then

m∠3=180°-72°=108°

42. Given l || m, line n is transversal (intersects lines m and l), then angles 10 and 6 are alternate interior angles. Alternate interior angles are congruent, so

43. If alternate exterior angles 10 and 6 are congruent, then lines l and m are parallel. Find the value of x for which angles 10 and 6 are congruent.

is there a question here?

step-by-step explanation: