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Question

The angles of a triangle are in the ratio of 1:3:5. Find their measures.

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Solution

Let the angles be x,3x and 5x
We know that sum of the angles of a triangle is 180 degrees.
x+3x+5x= 180
9x= 180
x=1809= 20 degrees
3x= 3 × 20= 60
5x= 5 × 20= 100
The angles will be 20,60 and 100 degrees.

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