Question

If two supplementary angles differ by 36 degree find the angles

Answer 1

Answer:

72° and 108°

Step-by-step explanation:

Say that

m∠1=x

m∠2=x−36

These are two angles whose difference is 36. If they are supplementary, then m∠1+m∠2=180.

x+(x−36)=180

Solve to find x.

2x−36=180

2x=216

x=108

Thus,

m∠1=108

m∠2=108−36=72

Hope It Helps:)

Answer 2

To find : supplementary angles .

Given : two supplementary angles differ by $36$°

Solution :

• Let $x$ and $y$ be two supplementary angles .
• We know that , two angles are called supplementary if there sum is

        $180$°.

• Therefore , we write as , $x + y =$ $180$°  --------------------(i)
• Also according to given data we have , $x - y =$ $36$° -----------------(ii)
• Adding equation (i) and (ii) we get ,

             ( $x + y =$ $180$° ) $+$  ($x - y =$ $36$° )

      ⇒       $2x =216$°

                 $x =\frac{216}{2} \\x = 108$°

• Now  substituting the value of $x$ in equation (i) we get value of $y$

         $108 + y = 180$

         $y = 180 -108$

         $y = 72$°

Hence , two supplementary angles are $108$° and $72$° .