Question

An angle is equal to five times its supplement . Determine the measure of both the angles.​

Answer 1

Answer:

Given,

An angle is 5 times its supplement

 

Let the angle be a and its supplement be b

Then, a=5b........(1)

As, a and b are supplementary

∴a+b=180∘

According to question,

a+b=180

⇒a+b=5b+b=6b=180

⇒6b=180 

⇒b=30

∵a=5b

∴a=5⋅30∘

⇒a=150∘

Answer 2

Step-by-step explanation:

Given,

An angle is 5 times its supplement

Let the angle be a and its supplement be b

Then, a=5b........(1)

As, a and b are supplementary

∴a+b=180

∘

According to question,

a+b=180

⇒a+b=5b+b=6b=180

⇒6b=180

⇒b=30

so a =5b

a=5×30

a=150

may be it is correct not confirm