Respuesta :

Answer:

[tex]1=3=70^{0} \\2=4=5=110^{0}[/tex]

Step-by-step explanation:

Given angle is 110°

Now,

[tex]4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ][/tex]

From the figure,

[tex]4=110^{0}\,\,;[alternate\,\,angle][/tex]

[tex]So,\,\,2=5=110^{0}[/tex]

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

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Answer:

  angle 1  =70 degrees

  angle 2  =110 degrees

  angle 3  =70 degrees

  angle 4 = 110 degrees

  angle 5  =110 degrees

Step-by-step explanation:

1) 110+ angle 1=180(allied angles)

          angle 1=180-110

          angle 1=70 degrees

2)angle 2+ angle 1=180(angles on a straight line)

  angle 2+ 70        =180

       angle 2          =180-70

       angle 2          =110 degrees

3)angle 3+ angle 2=180(angles on a straight line)

    angle 3+ 110       =180

       angle 3           =180-110

       angle 3           =70 degrees

  • angle 3 can be taken as vertically opposite angles(70 degrees)

4)angle 4 = 110 degrees (vertically opposite angles)

5)angle 5+ angle 3=180(allied angles)

  angle 5+ 70        =180

            angle 5     =180-70

           angle 5     =110 degrees

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