Question

If the complementary angle and supplementary angle of an angle P are (13x - 11)° and (24x + 24)° respectively, then find the value of P.

• A. 54°
• B. 32°
• C. 36°
• D. 42°

Answer 1

Answer:

C. 36°

(24x + 24°) - (13x - 11°) = 90° 24x + 24 - 13x + 11 = 90 11x + 35 = 90 x = (90 - 35)/11 x = 55/11 x = 5 Complementary angle of P = 13 × 5 - 11 = 54° P = 90° - 54° P = 36°