contestada

One angle is twice as large as the smallest angle of a triangle. Another angle is 16 degrees larger than the
smallest angle. Find the measures of all three angles of the triangle, listing them from smallest to largest.
degrees.

Respuesta :

s906236

Answer:

  • The smallest angle is 41
  • The second angle is 57
  • The third angle is 2*41 = 82
  • Step-by-step explanation:

Givens

  • Let the smallest angle = x
  • The second angle is x + 16
  • The third angle is 2x
  • The total is 180o because all triangles have 180 degrees.

Solution

  • x + x + 16 + 2x = 180
  • 4x + 16 = 180                Subtract 16
  • 4x = 180 - 16
  • 4x = 164                         Divide both sides by 4
  • 4x/4 = 164/4
  • x = 41

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