If l11m, find the value of each missing variable(s). Pls help ASAP
Answers
Answer:
5. x=13
6. x=7
7. x=26
8. x=18
9. x=11 y=3
10. x=24
Given,
It is given that l║m.
To find,
We have to find the value of the missing variable in each case.
Solution,
We can simply find the value of the missing variables with the given condition i.e. l║m.
(5) It is given that l║m, pair of alternate interior angles are equal, then
9x +2 = 119
9x = 119-2
9x = 117
x = 117/9
x = 13
(6) It is given that l║m, then the sum of co-interior angles is equal to 180 degrees.
12x-8 + 104 = 180
12x + 96 = 180
12x = 180-96
12x = 84
x = 7
(7) It is given that l║m, then the pair of alternate exterior angles are equal.
5x +7 = 8x-71
5x-8x = -71-7
-3x = -78
x = 26
(8) It is given that l║m, then pair of corresponding angles are equal.
4x -7 = 7x-61
4x-7x = -61+7
-3x = -54
x = 18
(9) It is given that l║m, then the sum of co-interior angles is equal to 180 degrees.
6x-7+3x-29 = 180
9x -36 = 180
9x = 180 +36
9x = 216
x = 24
So, 6x-7 = 6(24)-7
= 137
Now, when two lines intersect each other at one point, the Vertically opposite angles are equal.
Then, 8y + 17 = 6x-7
8y + 17 = 137
8y = 137-17
8y = 120
y = 15
Hence, if l║m, then the value of each missing variable is given above.