Question

If (7x + 4°) and (3x + 6°) are complementary angles, then find the supplementary angle of (x + 52°)?

Answer 1

Answer:

120°

Step-by-step explanation:

(7x + 4) + (3x +6) = 90 (given, complementary angles)

=> 7x + 3x + 4 + 6 = 90

=> 10x = 90- 10 = 80

=> x = 80/10 = 8

now, (x + 52) = 8 + 52 = 60

let the required angle be y

=> y + 60 = 180 (given, supplementary angles)

=> y= 180-60 = 120