Question

find an angle which is 5 degree more than four times its supplement ​

Answer 1

Answer:

Let smaller angle be x.

let larger angle be y.

sum of two supplementary angle is 180.

Therefore, x+y=180. .....(1)

According to condition,

x=5+ 4y. ......(2)

now, method of elimination,

x + y = 180

x -4y =5

- + -

____________

5y= 185

y = 37

putting value of y in (1)

we get x = 180-37

x=143

therefore one angle is 143 and other is 37.