Question

If line I is parallel to linne m find the missing variable and m

Answer 1

7. x = 30

8. m9. x = 4

10. mExplanation:

Questions 7 and 8:

We have a line crossing two other lines which are parallel, so the angles on the same side add up to 180º. Then

-3x + 100 + 6x - 10 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30

Question 8: m

Questions 9 and 10:

Due to their positions, these angles are equal. So

-2x + 60 = 8x + 20

8x + 2x = 60 - 20

10x = 40

x = 40/10

x = 4

Question 10: m