Angles in Parallel Lines: Three parallel lines

Given three parallel lines

Find$\alpha,\beta$

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:

$\beta=180-140=40$

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

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

What is the value of X?

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:

$64+x+75=180$

$x=180-75-64=41$

41°

a,b,c parallel to one another

Find a $\alpha$

68

Since a,b,c are parallel

Find a $\alpha$

96

Since a,b,c are parallel

Find a $\alpha$

77

Lines a, b, and c are parallel.

How big is angle $\alpha$?

90

According to the figure, calculate the angle CDE

$145$

Angle BCE equals 198 degrees.

Calculate the angle CEF.

$166$ degrees

Calculate the value of the expression $\alpha+\beta$

$54$

According to the figure, calculate the angle $\alpha$

$152$

According to the figure, calculate the angle CEF

$22.5$

Look at the diagram below.

Calculate the size of angle ABC.

$141$

Angle ABC equals 135 degrees.

Angle A equals 95 degrees.

Calculate angle BCD.

$40$

Calculate the size of angle $\alpha$ according to the data in the diagram below:

$85$

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

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

c ,b ,a parallel.

Find a $\alpha$

85

Lines a, b, and c are parallel.

Calculate the angle marked (?).

17

Given a,b,c parallel lines

Find a $\alpha$

82

Given a,b,c parallels

Find a $\alpha$

49

a,b,c parallel

Find X

39