Question
Two supplementary angles differ by 48°. Find the angles.
✓
Answer
Let the measure of an angle x°.$\therefore$ Its supplem entary will be (180 - x)°.
It is given that (180 - x°) - x° = 48° ⇒ 180 - 2x = 48 ⇒ 132 = 2x ⇒ x = 66° Hence, 180 - x = 180 - 66 = 114°. Therefore, angles are 66° and 114°.
It is given that (180 - x°) - x° = 48° ⇒ 180 - 2x = 48 ⇒ 132 = 2x ⇒ x = 66° Hence, 180 - x = 180 - 66 = 114°. Therefore, angles are 66° and 114°.
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