Calculate X and the indicated angles, if possible. 141-X <path d="M477.32 314.289q2.856.969 4.921 3.315 2.066 2.346 2.066 5.61 0 4.131-3.06 7.216-3.06 3.086-7.548 3.086-4.386 0-7.471-3.06-3.086-3.06-3.086-7.242 0-3.162 2.014-5.534 2.015-2.371 4.973-3.391-3.162-1.02-4.718-3.136-1.555-2.117-1.555-4.412 0-3.621 2.856-6.273 2.856-2.652 7.038-2.652 4.08 0 6.962 2.652 2.881 2.652 2.881 6.273 0 2.295-1.555 4.412-1.556 2.116-4.718 3.136m-3.57-1.53q2.805 0 4.539-1.658 1.734-1.657 1.734-4.36 0-2.601-1.709-4.284-1.708-1.683-4.615-1.683-2.805 0-4.539 1.658-1.734 1.657-1.734 4.309 0 2.703 1.709 4.36 1.708 1.658 4.615 1.658m0 17.646q2.652 0 4.539-1.861 1.887-1.862 1.887-5.381 0-3.621-1.964-5.457-1.963-1.836-4.513-1.836-2.448 0-4.437 1.81-1.989 1.811-1.989 5.483 0 3.468 1.836 5.355 1.836 1.887 4.641 1.887ZM505.319 313.728l14.433 18.666h-5.304l-11.322-15.606-11.016 15.606h-4.896l13.719-18.666L487.928 297h5.304l9.894 13.311L512.714 297h4.896l-12.291 16.728ZM552.71 320.664v14.28q0 1.683-1.02 1.683t-1.02-1.683v-14.28h-14.28q-1.684 0-1.684-1.02t1.683-1.02h14.28v-14.28q0-1.683 1.02-1.683t1.02 1.683v14.28h14.23q1.682 0 1.682 1.02t-1.683 1.02H552.71ZM604.027 298.836v3.009q-2.703-1.071-5.355-1.071-3.672 0-6.299 3.188-2.626 3.187-3.085 9.103 3.468-4.233 8.619-4.233 3.57 0 5.916 3.596 2.346 3.595 2.346 8.644 0 2.958-.74 4.973-.74 2.014-2.524 4.003-3.01 3.468-7.242 3.468-1.428 0-2.78-.408-1.351-.408-2.83-1.606-1.48-1.199-2.55-3.086-1.071-1.887-1.785-5.1-.714-3.213-.714-7.344 0-8.007 4.029-13.082 4.029-5.074 9.588-5.074 2.805 0 5.406 1.02m-14.688 22.389q.102 1.173.331 2.244.23 1.071.842 2.882.612 1.81 1.938 2.932 1.326 1.122 3.213 1.122 3.162 0 5.1-3.162 1.224-2.091 1.224-6.171 0-3.876-1.173-5.967-1.734-3.162-4.896-3.162-3.01 0-4.769 2.397-1.76 2.397-1.76 5.457-.05.612-.05 1.428Z" paint-order="stroke fill markers">

It is not possible to calculate.

Calculate X and the indicated angles, if possible. 28+X <path d="m408.07 394.353 3.927-3.62q1.53-1.582 2.269-2.372.74-.79 1.76-2.219 1.02-1.428 1.453-2.805.434-1.377.434-2.907 0-3.162-1.99-5.482-1.988-2.32-5.405-2.32-3.111 0-4.616 2.09-1.504 2.091-2.473 5.814-.867-1.275-1.122-1.479-.051-.05-.332-.433-.28-.383-.637-.893 2.346-8.364 9.894-8.364 4.896 0 7.879 3.188 2.984 3.187 2.984 7.777 0 1.99-.893 3.902-.892 1.912-1.708 2.856-.816.943-2.448 2.575-.51.46-2.27 1.99t-2.27 1.988q-.356.306-3.238 3.111-2.881 2.805-3.85 3.621h5.559q.306 0 .918-.025.612-.026.918-.026h9.282v3.621h-20.35v-3.264l6.325-6.324ZM447.651 357.279l10.2 11.679h-4.233l-7.65-9.588-7.395 9.588h-4.182l9.894-11.68-9.588-10.964h4.233l7.038 8.415 6.834-8.415h4.182l-9.333 10.965ZM490.094 357.228v14.28q0 1.683-1.02 1.683t-1.02-1.683v-14.28h-14.28q-1.683 0-1.683-1.02t1.683-1.02h14.28v-14.28q0-1.683 1.02-1.683t1.02 1.683v14.28h14.23q1.682 0 1.682 1.02t-1.683 1.02h-14.229ZM529.12 359.37l3.928-3.621q1.53-1.581 2.27-2.372.739-.79 1.759-2.218t1.453-2.805q.434-1.377.434-2.907 0-3.162-1.99-5.483-1.988-2.32-5.405-2.32-3.111 0-4.616 2.09-1.504 2.092-2.473 5.815-.867-1.275-1.122-1.48-.051-.05-.332-.433-.28-.382-.637-.892 2.346-8.364 9.894-8.364 4.896 0 7.88 3.187 2.983 3.188 2.983 7.778 0 1.989-.893 3.901-.892 1.913-1.708 2.856-.816.944-2.448 2.576-.51.459-2.27 1.989t-2.27 1.989q-.356.306-3.238 3.11-2.881 2.806-3.85 3.622h5.559q.306 0 .918-.026.612-.025.918-.025h9.282v3.62h-20.35v-3.263l6.325-6.324ZM549.419 367.734l1.58-2.703q2.347 1.938 5.254 1.938 3.264 0 5.686-3.137 2.423-3.136 2.83-9.001-1.631 2.04-3.926 3.136-2.295 1.097-4.692 1.097-3.57 0-5.916-3.596-2.346-3.595-2.346-8.644 0-5.457 3.315-9.027 3.213-3.417 7.446-3.417 1.836 0 3.493.765 1.658.765 3.29 2.575 1.632 1.81 2.626 5.457.995 3.647.995 8.696 0 8.058-3.825 13.132-3.825 5.075-9.027 5.075-3.57 0-6.783-2.346m15.198-20.961q-.051-1.275-.306-2.601t-.816-3.01q-.561-1.682-1.836-2.753-1.275-1.071-3.01-1.071-3.11 0-5.1 2.907-1.478 2.346-1.478 6.579 0 3.978 1.173 6.069 1.734 3.06 4.896 3.06 2.907 0 4.717-2.346 1.81-2.346 1.81-5.61 0-.867-.05-1.224Z" paint-order="stroke fill markers">

It is not possible to calculate.

Calculate X and the marked angles. 5+X 2X-9

It is not possible to calculate.

Line a is parallel to line b. Calculate X. a a a b b b 4X+8 3X

It is not possible to calculate

Lines b and a are parallel. Calculate the value of x. 2x+24 2x+24 2x+24 a a a b b b 78

It is not possible to calculate.

Angles in Parallel Lines: Using variables

Question 1

The angles below are formed between two parallel lines.

Calculate the value of X.

Question 2

What is the value of X?

Question 3

Calculate X and the indicated angles, if possible.

Question 4

Calculate X and the indicated angles, if possible.

Question 5

Calculate X and the marked angles.

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.

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:

$2x=20$

We divide both sections by 2:

$\frac{2x}{2}=\frac{20}{2}$

$x=10$

Answer

$10$

Exercise #2

What is the value of X?

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:

$x+20=2x$

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

$20=2x-x$

$20=x$

Answer

X=70

Exercise #3

Calculate X and the indicated angles, if possible.

Video Solution

Answer

Exercise #4

Calculate X and the indicated angles, if possible.

Video Solution

Answer

Exercise #5

Calculate X and the marked angles.

Video Solution

Answer

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Exercise #6

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

Video Solution

Answer

Exercise #7

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

Video Solution

Answer

Exercise #8

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

Video Solution

Answer

Exercise #9

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

Video Solution

Answer

Exercise #10

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

Video Solution

Answer

Question 1

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

Question 2

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

Question 3

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

Question 4

Calculate X.

Question 5

Calculate X.

Exercise #11

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

Video Solution

Answer

Exercise #12

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

Video Solution

Answer

Exercise #13

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

Video Solution

Answer

154/101

Exercise #14

Calculate X.

Video Solution

Answer

Exercise #15

Calculate X.

Video Solution

Answer

Question 1

Calculate X.

Question 2

Line a is parallel to line b.

Calculate X.

Question 3

Lines a and b are parallel.

x = ?

Question 4

Lines b and a are parallel.

Calculate the value of x.

Question 5

The angles shown below are formed by parallel line.

What is the value of X?

Exercise #16

Calculate X.

Video Solution

Answer

Exercise #17

Line a is parallel to line b.

Calculate X.

Video Solution

Answer

24.57

Exercise #18

Lines a and b are parallel.

x = ?

Video Solution

Answer

28.5

Exercise #19

Lines b and a are parallel.

Calculate the value of x.

Video Solution

Answer

27°

Exercise #20

The angles shown below are formed by parallel line.

What is the value of X?

Video Solution

Answer

$40$