jackiemartinez6 jackiemartinez6
  • 10-05-2018
  • Mathematics
contestada

Triangle GHI has the angle measures of G = (2x + 5)°, H = (6x − 10)°,
and I = (x + 5)°. What is the actual measurement of angle H?

Respuesta :

carlosego
carlosego carlosego
  • 19-05-2018
The sum of the angles of a triangle is equal to 180 degrees.
 We then have the following equation:
 G + H + I = 180
 Substituting values:
 (2x + 5) + (6x - 10) + (x + 5) = 180
 Clearing x we have:
 (2x + 6x + x) + (5-10 + 5) = 180
 9x + 0 = 180
 9x = 180
 x = 180/9
 x = 20
 Then, for the angle H we have:
 H = (6x - 10) °
 Substituting:
 H = (6 (20) - 10) °
 H = (120 - 10) °
 H = 110 °
 Answer:
 
the current measurement of angle H is: 
 
H = 110 °
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