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The angles of a triangle are in a ratio of 5:6:1 Find the measure of each angle.

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PARTITIVE PROPORTION

QUESTION

  • The angles of a triangle are in a ratio of 5:6:1 Find the measure of each angle.

SOLUTION

Remember:

  • The sum of the angles of a triangle is 180°

First, We will get the value of the quantity that is equally distributed to the different ratios.

Let x = the value of the quantity

angles are 5x , 6x , and , x

Finding the value of x

  • = 5x + 6x + x = 180
  • = 12x = 180
  • = x = 180 ÷ 12
  • = x = 15

Now, We will substitute the value x to get the measure of each angle.

Angle 1:

  • 5x = 5(15) = 75°
  • 6x = 6(15) = 90°
  • x = 15°

CHECK TO VERIFY:

  • 75+90+15 = 180
  • 180 = 180 ✔️

ANSWER

  • The angles are 75° , 90° , and 15°

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