Question:
Two supplementary angles differ by 48°.Find the angles?
Solution:
Given that two supplementary angles 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
(180 - 48) = 2x
2x = 132
x = 132/2
x = 66
Hence, 180 - x = 114°
Therefore, the angles are 66 and 114.