HolleeY488049 HolleeY488049
  • 30-10-2022
  • Mathematics
contestada

If angle d=130 and angle c=60, what is angle a?

If angle d130 and angle c60 what is angle a class=

Respuesta :

EdrielB414112 EdrielB414112
  • 30-10-2022

The sum of all internal angles of a triangle is 180°, therefore

[tex]a+b+c=180[/tex]

Also, we know that

[tex]b+d=180[/tex]

We have the value of d then we can find b using the second equation

[tex]\begin{gathered} b+130=180 \\ \\ b=180-130 \\ \\ b=50 \end{gathered}[/tex]

Therefore

[tex]\begin{gathered} a+50+60=180 \\ \\ a=180-50-60 \\ \\ a=180-110 \\ \\ a=70 \end{gathered}[/tex]

The value of a is 70°

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