Question

two supplementary angle differ by 48°. find the angles. ​

Answer 1

Answer:

let one angle be x

so,it's supplement=180-x

so,A.T.Q,

x-(180-x)=48

x-180+x=48

2x-180=48

2x=48+180

2x=228

x=114

hence,one angle=114°

supplement angle=180-114=66°

Answer 2

Greetings..!

We know, two supplementary angles sum up to make 180°

. So, let one of the angles be x°.

Then , the other one is (x - 48)°

. As , their sum is 180°, we can form the equation ,

⇒ x + x - 48 = 180

⇒2x = 180 + 48

 ⇒x = 228/2 = 114

Hence, we have x's value 114°.

So, the other angle is x - 48 = 114 - 48 = 66°.

Answer : Hence, angles are 114° and 66°.