Two supplementary angles differ by 44°. Find the angles.

Question

KnowledgeBoat · Accepted 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°.

Mathematics

Two supplementary angles differ by 44°. Find the angles.

Linear Eqns One Variable

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