Answer :

Given that,

Two supplementary angles are differ by 48^{o}

Let, the angle measured be x^{o}

Therefore, its supplementary angle will be (180^{o} – x)

It is given that,

(180^{o} – x) – x = 48^{o}

2x = 180^{o} – 48^{o}

x = 66^{o}

Hence, 180^{o} – x = 114^{o}

Therefore, angles are 66^{o} and 114^{o}.

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