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Question

Two angles of a triangle are in the ratio (23:32) and the third angle is 50. The two angles are:

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Solution

Let the two angles of the triangle be 23x and 32x
23x+32x+50=180
4x+9x6=130
13x=130×6
x=78013=60.
Now,23×60=40 and 32×60=90.
Hence, the required angles are 40,90.

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