Correct Answer - Option 2 : 90°
Concept:
Complementary angles: The pair of angles whose sum is equal to 90° are complementary angles.
Supplementary angles: The pair of angles whose sum is equal to 180° are supplementary angles.
Explanation:
Let the acute angle be a°.
⇒ Complementary angle of a° = (90 - a)°
Also, Supplementary angle of a° = (180 - a)°
∴ Difference between supplementary and complementary angles = (180 - a)° - (90 - a)°
⇒ 180 - a - 90 + a
⇒ 90°
Hence, the difference between complementary and supplementary angles of a given acute angle is 90°.
