Question

Find the value of the complementary angle of \( 75^\circ \):

• A. \( 85^\circ \)
• B. \( 15^\circ \)
• C. \( 30^\circ \)
• D. \( 45^\circ \)

Hint:

To find the complementary angle, subtract the given angle from \( 90^\circ \).

Answer 1

The Correct Option is B

The complementary angle of an angle \( \theta \) is given by: \[ \text{Complementary angle} = 90^\circ - \theta \] For \( \theta = 75^\circ \), the complementary angle is: \[ 90^\circ - 75^\circ = 15^\circ \] Thus, the correct answer is \( 15^\circ \).