Hannah B.

asked • 11/30/17

The ratio of the interior angle measures of a triangle are 2:3:5. What are the angle measures?

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1 Expert Answer

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Carl M. answered • 11/30/17

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Since the interior angles of the triangle are in the ratios of 2:3:5, you can represent them by 2x, 3x and 5x where x is the unknown value.
 
The interior angles of a triangle sum to 180 degrees
  • 2x + 3x +5x = 180
  • 10x = 180
  • x = 18
The angle measures are 2(18) = 36, 3(18) = 54, 5(18) = 90.
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Anas Y.

This really helped me!
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11/25/18

JM M.

You said, "Since the interior angles of the triangle are in the ratios of 2:3:5, you can represent them by 2x, 3x and 5x where x is the unknown value." Why can you do that?
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05/08/22

Carl M.

Because with ratios you can use them to together.
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05/08/22

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