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(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.

Respuesta :

saraalvi00

Answer:

30 degrees,30 degrees120, degrees

Step-by-step explanation:

The ratio of the angles is 1:1:4.

Let’s represent the angles by 1x, 1x, and 4x.

The sum of the interior angles of a triangle is 180°.

1x + 1x +4x = 180    Combine like terms.

           6 x = 180    Divide each side by 6

               x = 30°

1x=1*30=30 degrees

1x=1*30=30 degrees

4x=4*30=120 desgrees

ElephantHouse

Answer:

30, 30, 120

Step-by-step explanation:

Basic properties of a triangle:

  • Triangles have 3 sides.
  • The sum of the interior angles of a triangle will always be equal to 180°.

The problem:

  • Find the angle measures
  • List them in least to greatest
  • Given information:
  • The ratio of the angles' values are 1:1:4.

To solve:

  • To solve this type of problem, think of the ratio as a variable, x.
  • The ratio would be x:x:4x
  • Given that revised information, the sum of the interior angles is 6x.
  • Since the sum of the interior angles of a triangle is 180°, 6x = 180°
  • To find x as an individual value, divide both sides of the equation by 6:
  • -  6x = 180
  • -  x = 30
  • Now, to find the angles' values, use the value of x in the ratio to solve:
  • 30 : 30 : 120
  • The values of the ratio are your angles!
  • Finally, list from least to greatest and the question is completely answered!

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