Examples with solutions for Angles in Parallel Lines: Using variables

Exercise #1

The angles below are formed between two parallel lines.

Calculate the value of X.

2020202X

Video Solution

Step-by-Step Solution

Since the angle equal to 20 and the angle 2x are alternate angles, they are equal to each other.

Therefore:

2x=20 2x=20

We divide both sections by 2:

2x2=202 \frac{2x}{2}=\frac{20}{2}

x=10 x=10

Answer

10 10

Exercise #2

What is the value of X?

2XX+20

Video Solution

Step-by-Step Solution

Since alternate angles are equal between parallel lines, they are equal to each other.

Therefore we can say that:

x+20=2x x+20=2x

We will move X to the right side and keep the plus and minus signs accordingly when making the change:

20=2xx 20=2x-x

20=x 20=x

Answer

X=70

Exercise #3

The parallel a,b lines

Find X

150150150bbbaaa3x+25

Video Solution

Answer

4123 41\frac{2}{3}

Exercise #4

The lines a and b are parallel.

Calculate the value of X.

343434aaabbb5x+18

Video Solution

Answer

25.6

Exercise #5

Lines b and a are parallel.

Calculate the value of x.

2x+242x+242x+24aaabbb78

Video Solution

Answer

27°

Exercise #6

Lines a and b are parallel.

x = ?

2x2x2xx+14x+14x+14aaabbb3x-5

Video Solution

Answer

28.5

Exercise #7

Line a is parallel to line b.

Calculate X.

aaabbb4X+83X

Video Solution

Answer

24.57

Exercise #8

The angles shown below are formed by parallel line.

What is the value of X?

707070X+30X+30X+30

Video Solution

Answer

40 40

Exercise #9

The angles shown below are formed by two parallel lines.

What is the value of X?

2X+2080

Video Solution

Answer

40 40

Exercise #10

The two lines shown below are parallel.

calculate X.

4040403X+43X+43X+4

Video Solution

Answer

12 12

Exercise #11

The two lines shown below are parallel.

Calculate the value of X.

3X+403X+403X+402X

Video Solution

Answer

28 28

Exercise #12

Calculate X given that the lines in the diagram below are parallel.

2X8X-40

Video Solution

Answer

22

Exercise #13

Calculate X given that the lines in the diagram below are parallel.

8X100+3X

Video Solution

Answer

20

Exercise #14

Calculate X given that the lines in the diagram below are parallel.

20-X140-X

Video Solution

Answer

80

Exercise #15

Calculate X given that the lines in the drawing are parallel.

20+100X6+X

Video Solution

Answer

154/101

Exercise #16

Calculate X given that the lines in the diagram below are parallel.

4X+109X

Video Solution

Answer

2

Exercise #17

Calculate X given that the lines in the diagram below are parallel.

50+X70-X

Video Solution

Answer

10

Exercise #18

Calculate X and the marked angles.

5+X2X-9

Video Solution

Answer

14

Exercise #19

Calculate X and the indicated angles, if possible.

28+X

Video Solution

Answer

2

Exercise #20

Calculate X and the indicated angles, if possible.

141-X

Video Solution

Answer

15