Question

supplement of an angle is four times of its complement find angle.


please give answer step by step ​

Answer 1

Answer:

Step-by-step explanation:

Let the angle be x

Let its compliment be y

Let its supplement be z

x+y=90

x+z=180

According to question

4y=z

x+4y=180

x=90-y

x=180-z=180-4y

90-y=180-4y

-y+4y=180-90

3y=90

y=90/3

y=30

x=90-y

x=90-30=60

Hence the angle is 60