Given that,
Two supplementary angles are differ by 48°
Let, the angle measured be x°
Therefore, its supplementary angle will be (180° – x)
It is given that,
(180° – x) – x = 48°
2x = 180° – 48°
x = 66°
Hence, 180° – x = 114°
Therefore, angles are 66° and 114°.