Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
ion of lines b and f, the bottom right angle is (6 x minus 36) degrees.
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
2 answers:
Answer:
Option C.
Step-by-step explanation:
It is given that lines a and b are cut by transversal f.
If a transversal line intersect two parallel lines, then the alternate exterior angles are same.
We need to find the value of x so that lines a and b are parallel lines cut by transversal f.
So, equate both alternate exterior angles.
Add 36 on both sides.
Divide both sides by 6.
The value of x is 22. Therefore, the correct option is C.
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