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

Calculate X and the marked angles.

5+X2X-9

Video Solution

Answer

14

Exercise #4

Calculate X and the indicated angles, if possible.

28+X

Video Solution

Answer

2

Exercise #5

Calculate X and the indicated angles, if possible.

141-X

Video Solution

Answer

15

Exercise #6

Calculate X and the value of the marked angles, if possible.

90+X3X+60

Video Solution

Answer

15

Exercise #7

Calculate X and the value of the marked angles, if possible.

100-X20+X

Video Solution

Answer

40

Exercise #8

Calculate X.

2X-202X+20

Video Solution

Answer

45

Exercise #9

Calculate X.

100-X5X

Video Solution

Answer

20

Exercise #10

Calculate X.40+X120+X

Video Solution

Answer

10

Exercise #11

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

20+100X6+X

Video Solution

Answer

154/101

Exercise #12

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

4X+109X

Video Solution

Answer

2

Exercise #13

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

50+X70-X

Video Solution

Answer

10

Exercise #14

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

2X8X-40

Video Solution

Answer

22

Exercise #15

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

8X100+3X

Video Solution

Answer

20

Exercise #16

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

20-X140-X

Video Solution

Answer

80

Exercise #17

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 #18

The angles shown below are formed by two parallel lines.

What is the value of X?

2X+2080

Video Solution

Answer

40 40

Exercise #19

The two lines shown below are parallel.

calculate X.

4040403X+43X+43X+4

Video Solution

Answer

12 12

Exercise #20

The two lines shown below are parallel.

Calculate the value of X.

3X+403X+403X+402X

Video Solution

Answer

28 28