Question

the larger of two supplementary angles exceeds smaller by 180*. write pair of linear equtation​

Answer 1

Answer:

Let the larger angle be ‘a’ and the smaller angle be ‘b’.

Given, larger of two supplementary angles exceeds the smaller by 18 degrees.

⇒ a = b + 18

⇒ a - b = 18 ...... (1)The sum of supplementary angles is 180°.⇒a + b = 180.....(2)

Adding the equations 1 and 2 we get,

a-b+a+b=18+180

⇒ 2a = 198

⇒ a = 99°

Put the value of b in eq. 1 to get, 99-b=18⇒ -b=18-99⇒ -b=-81⇒ b=81

Thus, b = 81°

Hence the measure of smaller angle is 81° and larger angle is 99°.

Answer 2

Answer:

x+y=180

x-y=180

where x is larger & Y is smaller