Mathematics
Two supplementary angles differ by 44°. Find the angles.
Linear Eqns One Variable
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Answer
Let the required angles be x° and (x + 44)°.
Since the sum of supplementary angles is 180°, we have:
x + (x + 44) = 180
⇒ 2x + 44 = 180
⇒ 2x = 180 - 44 [Transposing +44 to RHS]
⇒ 2x = 136
⇒ x =
⇒ x = 68
⇒ (x + 44)° = (68 + 44)° = 112°.
Hence, the required angles are 68° and 112°.
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