Respuesta :

Answer:

angle 1=[tex]135[/tex]°

Step-by-step explanation:

to find the angle of 1 you should know angle 2, what is angle 2?

angle [tex]45[/tex]° and angle [tex]1[/tex] are symetrical so they have the same value.

now that we know that angle 2 is equal to [tex]45[/tex]°

then what is angle 1

if the whole line has an angle of [tex]180[/tex]° and angle [tex]45[/tex]°.

so the equation will be :

[tex]45+x=180[/tex]

flip the equation to find [tex]x[/tex]:

[tex]180-45=x[/tex]

[tex]180-45=x\\135=x\\x=[/tex]the angle 1 which we found in the given equation is 135

check if my answer is correct is :

[tex]135+45=180\\180=180[/tex]

my equation is correct

  • m<6 is 45°(Opposite angles)

[tex]\\ \tt\hookrightarrow 5x+35+45=180[/tex]

[tex]\\ \tt\hookrightarrow 5x+80=180[/tex]

[tex]\\ \tt\hookrightarrow 5x=100[/tex]

[tex]\\ \tt\hookrightarrow x=20[/tex]

  • m<1=5(20)+35=135°[/tex]