alexandramunoz54813 alexandramunoz54813
  • 08-09-2020
  • Mathematics
contestada

The measures of the three angles of a triangle are 43°, 70°, and xº. What is the value of x?

Respuesta :

Muscardinus Muscardinus
  • 14-09-2020

Answer:

67 degrees

Step-by-step explanation:

It is given that,

The measures of the three angles of a triangle are 43°, 70°, and xº.

We need to find the value of x.

We know that, the sum of angles of a triangle is equal to 180 degrees. Applying this theorem, we get :

[tex]43^{\circ}+70^{\circ}+x^{\circ}=180^{\circ}\\\\113^{\circ}+x^{\circ}=180^{\circ}\\\\x^{\circ}=180^{\circ}-113^{\circ}\\\\x^{\circ}=67^{\circ}[/tex]

Hence, the value of x is 67 degrees.

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