Given three parallel lines Find$$ \alpha,\beta $$ α α α β β β 38 38 38 140

$$ \alpha=38 $$ $$ \beta=140 $$

$$ \alpha=142 $$ $$ \beta=140 $$

Calculate the value of the angles. $$ \alpha,\beta $$ A A A B B B C C C 25 α β

$$ \alpha=25 $$ $$ \beta=155 $$

$$ \alpha=155 $$ $$ \beta=25 $$

Since a,b,c are parallel Find a $$ \alpha $$ a a a b b b c c c 29 74 α

It is not possible to calculate

Lines a, b, and c are parallel. How big is angle $$ \alpha $$? a a a b b b c c c 140 50 α

It is not possible to calculate.

Lines a, b, and c are parallel. Calculate the angle marked (?). a a a c c c b b b 125 108 ?

It is not possible to calculate

Given a,b,c parallel lines Find a $$ \alpha $$ α α α 130 130 130 c c c a a a b b b 48

It is not possible to calculate

Given a,b,c parallels Find a $$ \alpha $$ a a a b b b c c c 115 α 78 53

It is not possible to calculate

a,b,c parallel and given that $$ \alpha=5x $$ Find X a a a b b b c c c 3x α x+18

It is not possible to calculate

Angles in Parallel Lines: Three parallel lines

Examples with solutions for Angles in Parallel Lines: Three parallel lines

Exercise #1

Given three parallel lines

Find $\alpha,\beta$

Video Solution

Step-by-Step Solution

We will mark the angle opposite the vertex of 38 with the number 1, therefore, angle 1 is equal to 38 degrees.

We will mark the angle adjacent to angle $\beta$ with the number 2. And since angle 2 corresponds to the angle 140, angle 2 will be equal to 140 degrees

Since we know that angle 1 is equal to 38 degrees we can calculate the angle $\alpha$ $\alpha=180-38=142$

Now we can calculate the angle $\beta$

180 is equal to angle 2 plus the other angle $\beta$

Since we are given the size of angle 2, we replace the equation and calculate:

$\beta=180-140=40$

Answer

$\alpha=142$ $\beta=40$

Exercise #2

Look at the angles formed by parallel lines in the figure below:

What is the value of X?

Video Solution

Step-by-Step Solution

Given that the three lines are parallel:

The 75 degree angle is an alternate angle with the one adjacent to angle X on the right side, and therefore is also equal to 75 degrees.

The 64 degree angle is an alternate angle with the one adjacent to angle X on the left side, and therefore is also equal to 64 degrees.

Now we can calculate:

$64+x+75=180$

$x=180-75-64=41$

Answer

41°

Exercise #3

a,b,c parallel to one another

Find a $\alpha$

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Answer

Exercise #4

Calculate the value of the angles. $\alpha,\beta$

Video Solution

Answer

$\alpha=155$ $\beta=155$

Exercise #5

Angle ABC equals 135 degrees.

Angle A equals 95 degrees.

Calculate angle BCD.

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Answer

$40$

Angles in Parallel Lines: Three parallel lines

Examples with solutions for Angles in Parallel Lines: Three parallel lines

Exercise #1

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Exercise #2

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