Question

an angle is equal to five times its complement . Determine its measure

Answer 1

Answer:

Step-by-step explanation:

Let the angle be x

Then it's complement will b(90-x).

A/q

x=5(90-x)

x=450-5x

x+5x=450

6x=450

x=450/6=75

Hence, required angle is 75degrees.

We can justify the result putting 75 in place of x.

Complement of 75=(90-75)=15

And 75=5*15

Answer 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

Let the angle be x

Then it's complement will b(90-x).

A/q

x=5(90-x)

x=450-5x

x+5x=450

6x=450

x=450/6=75

Hence, required angle is 75degrees.

We can justify the result putting 75 in place of x.

Complement of 75=(90-75)=15

And 75=5*15