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The non-right angles of a triangle are in the ratio 1 : 5. What are the measures of the 3 angles?

1 Answer

5 votes

Answer:

90;15;75

Explanation:

There are 180 degrees in a triangle.

Since this is a right triangle, one of the angles in 90 degrees.

This means that the non-right angles add up to 90 degrees. (180-90)

Our first non-right angle is 1/6 of 90 degrees.

1/6*90=90/6=15

Our second one is 5/6 of 90 degrees.

5/6*90=450/6=75

We can check our answer to make sure all the angles add up to 180.

15+75+90=180

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