Two supplementary angles differ by 48°.Find the angles?

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.

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