Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

What is m < 2?

34 degrees
40 degrees
74 degrees
146 degrees

Lines l and m are parallel When they are cut by the two transversals below a triangle is formed What is m lt 2 34 degrees 40 degrees 74 degrees 146 degrees class=

Respuesta :

The measure of angle 1 is 180-74 which is 106.  And you have a vertical angle with 40 degrees as the unmarked angle inside your triangle, so that unmarked angle is 40.  That means that angle 2 is equal to 180 - 106 - 40 which is 34

Answer:

The angle marked as 2 in the figure is 34 degrees.

Step-by-step explanation:

The sum of interior angles of a triangle is 180 degrees.

To know the value of angle 2, you have to solve following equation:

[tex]180=angle1+angle2+angle3[/tex]

[tex]angle2=180-angle1-angle3[/tex]

[tex]angle2=180-106-40\\angle2=34[/tex]

The values of angle 1 and angle 3 are calculated as follows:

  • Angle 1

Angle 1 is calculated by doing:

180-74=106

  • Angle 3

As angle 3 is opposite to the 40 degrees angle drawn in the figure, and knowing they are vertical angles, you can assume that angle 3 is equal to 40 degrees.

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