Answer:
The first one is 141 degrees, the second one is 39 degrees, the third is 149 degrees, the fourth one is 98 degrees, the fifth one is 102 degrees, the sixth one is 50 degrees, the seventh one is 74 degrees, the eighth one is 83 degrees, the ninth one is 95 degrees, the tenth one is 162 degrees.
Step-by-step explanation:
Basically you can look at the lines and tell if they are the same degree or not and if they are not you subtract that number from 180 to get your degree. I've already done this worksheet before and got a 100%
Given:
A maze based on parallel line and transversal
To find:
The route to complete the maze.
Solution:
The route to complete the maze is by finding the value of x.
1. In the 'start box':
The value of x :
∠x= 141° ( alternative interior angles)
Now, move to the box in a direction where 141° is written that is to the left.
2. The value of x:
∠x= 39° ( alternative interior angles)
Move one box down where 39° is written.
3. The value of x:
∠x= `angle adjacent to 41° ( alternative interior angles)
∠x= 180°-41°= 139°
Move one box left where 139° is written.
4. The value of x:
∠x= `angle adjacent to 82° ( corresponding angles)
∠x= 180°-82°= 98°
Move one box down where 98° is written.
5. The value of x:
∠x= 102° ( vertically opposite angles)
Move one box right where 102° is written.
6. The value of x:
∠x= `angle adjacent to 130° ( alternative exterior angles)
∠x= 180°-130°= 50°
Move one box down where 50° is written.
7. The value of x:
∠x= 74° ( corresponding angles)
Move one box right where 74° is written.
8. The value of x:
∠x= 83° ( corresponding angles)
Move one box right where 83° is written.
9. The value of x:
∠x= 95° ( corresponding angles)
Move one box up where 95° is written.
10. The value of x:
∠x= `angle adjacent to 18° ( corresponding angles)
∠x= 180°-18°= 162°
Move one box up where 162° is written.
The maze is solved.
Learn more about parallel lines and transversal here:
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