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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:

A
30, 95
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B
45, 85
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C
30, 100
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D
40, 90
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Solution

The correct option is D 40, 90
Let the two angles of the triangle be (2x3) and (3x2)
(2x3)+(3x2)+50=180
(4x+9x)6=130
13x=130×6
x=78013=60

Now 23×60=40 and 32×60=90
Hence the required angles are 40 and 90

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