Question

if the ratio of the complementary angle to that of the Supplementary angle of the given angle is 7:16 then find the ratio of the given angle with its supplementary angle

Answer 1

Answer:

1:8

Step-by-step explanation:

let the angle be x

complementary angle = 90-x

supplementary angle = 180-x

90-x/180-x = 7/16

(180-x)7 =( 90-x)16

1260-7x = 1440 - 16x

16x-7x = 1440-1260

9x = 180

x = 20

supplementary = 160

ratio = 1:8