sweetphir
sweetphir sweetphir
  • 13-03-2024
  • Mathematics
contestada

Solve for the angle. (Please help)

Solve for the angle Please help class=

Respuesta :

jimrgrant1 jimrgrant1
  • 13-03-2024

Answer:

(3) 83° , (4) 85°

Step-by-step explanation:

The sum of the 3 angles in a triangle is 180°

(3)

sum the 3 angles , equate to 180 and solve for x

87 + x + 43 + 54 = 180 ( simplify left side )

x + 184 = 180 ( subtract 184 from both sides )

x = - 4

Then

87 + x = 87 - 4 = 83°

(4)

Similarly

5 + 10x + 60 + 35 = 180 ( simplify left side )

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

Then

5 + 10x = 5 + 10(8) = 5 + 80 = 85°

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