michelleperezmp58
michelleperezmp58 michelleperezmp58
  • 19-09-2019
  • Mathematics
contestada

find the value of x if ∡A and ∡B are supplementary angles.

∡ C = (3x - 44)° ∡ D = (5x - 20)°

Respuesta :

maguimalz
maguimalz maguimalz
  • 20-09-2019

Answer:

[tex] x = 30.5 [/tex]

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

[tex] C + D = 180[/tex]

Supplanting we get:

[tex] (3x-44) + (5x-20) = 180 [/tex]

We add up the X's.

[tex] 8x-44-20 = 180 [/tex]

[tex] 8x-64 = 180 [/tex]

Then we send 64 to the other side adding:

[tex] 8x = 180+64 [/tex]

[tex] 8x = 180+64 [/tex]

[tex] 8x = 244 [/tex]

And then the 8 goes dividing:

[tex] x = 244 : 8[/tex]

[tex] x = 30.5 [/tex]

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