jenniferrosado519 jenniferrosado519
  • 17-05-2019
  • Mathematics
contestada

m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

Respuesta :

lublana
lublana lublana
  • 18-05-2019

Answer:

Final answer is x=23.

Step-by-step explanation:

Given that m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

We know that sum of all three angles of a triangle equals 180 degree.

So we can write equation:

m∠A + m∠B + m∠C = 180°

60° +(3x − 2)° + (2x + 7)°  = 180°

60 +3x − 2 + 2x + 7  = 180

67 +5x − 2  = 180

65 +5x  = 180

5x  = 180 - 65

5x  = 115

[tex]x=\frac{115}{5}[/tex]

x=23

Hence final answer is x=23.

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