folamiroheem
folamiroheem folamiroheem
  • 21-01-2021
  • Mathematics
contestada

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
105
(7-10)

The measures of the angles of a triangle are shown in the figure below Solve for x 6x20 105 710 class=

Respuesta :

Merschman12
Merschman12 Merschman12
  • 21-01-2021

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

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