Given: Ratio of two complementary angles is 1 : 5 Concept used: Sum of two complementary angles is 90°. Calculations: Let the two angles be 1x and 5x. Sum of two complementary angles is 90°. ⇒(1x+5x)=90° ⇒x=15° ⇒(5x−x)=60° ∴ The difference between two complementary angles is 60°.