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Step-by-step explanation:
consider ΔPQR,
P + Q + R = 180° ( sum of the angles of a triangle )
=> c+55° + 60° + 40° = 180°
=> c + 155° = 180° => c = 180° - 155°
=> c = 25°
Now, consider ΔPQS, ( where a + b = S )
=> 55° + 60° + a = 180°
=> 115° + a = 180°
=> a = 180° - 115°
=> a = 65°
similarly consider ΔPRS, ( where a + b = S )
=> c + 40° + b = 180°
=> 25° + 40° + b = 180° => 65° + b = 180°
=> a = 180° - 65°
=> a = 115°
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