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Let the angle( P , Q , R ) be 3x , 2x , x
As we know that the sum of int. angle of any ∆ is 180° .
A/q 3x + 2x + x = 180°
=> 6x = 180°
=>. x = 180°/6 = 30°
then , Angle P = 3x = 3 × 30 = 90°
Angle Q = 2x = 2× 30 = 60°
Angle R = x = 30° ..................(1)
Since ,
Angle PRQ = 30° { From .....(1)}
Angle PRT = 90° ( Given )
Now ,
Angle ( PRQ + PRT + TRS ) = 180° { straight line property }
30° + 90° + TRS = 180°
AngleTRS = 180° - 120° = 60° Ans...
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