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 = 3c + 28, find the value of x so that l || m

40. Alternate exterior angles.

41. .

42.

43.

Step-by-step explanation:

Given:

From the figure, l and m are 2 lines and p and n are the transversals on the 2 lines.

Question 40:

lie exterior to lines l and m are also alternate to each other. Therefore, they are called as a pair of alternate exterior angles.

Question 41:

If lines l || m, then the angles are a pair of supplementary angles.

Therefore, the sum of angles 2 and 3 is equal to 180.

Therefore, .

Question 42:

If lines l || m, then the angles are a pair of alternate interior angles and equal to each other.

Therefore,

Therefore, .

Question 43:

If lines l || m, then the angles are a pair of alternate exterior angles and equal to each other.

Therefore,

Therefore, .