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  • 18-02-2021
  • Mathematics
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A triangle has an angle that measures 25. The other two angles are in a ratio of 11:20. What are the measures of those two angles?

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smartpersonlisten1 smartpersonlisten1
  • 19-02-2021

Answer:

The measures of the two angles are 55 and 100 degrees.

Step-by-step explanation:

The three interior angles of a triangle always add up to 180.

So if one angle is 25 degrees

180 - 25 = 155

The two other angles must add up to 155.

If the ratio is 11:20

That means there are 31 equal parts between the two angles

So 155/31 =5

Whic means

11 x 5 = 55

20 x 5 = 100

The two missing angles are 55 and 100 degrees.

Hope this explanation helped you!

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