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Question
Two supplementary angles differ by 48°. Find the angles.
Solution
Given that two supplementary angles are differ by 48°
Let the angle measured is x°
∴ Its supplementary angle will be (180 - x)°
It is given that
(180 - x) - x = 98°
⇒ 180 - 48° = 2x
⇒ 132 = 2x
⇒ x = `132/2`
⇒ x = 66°
Hence, 180 - x = 114°
Therefore, angles are 66° and 114°
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