(Q19).The larger of two supplementary angles exceeds the smaller by 18°. Find the angles.

Let the pair of supplementary angles be x and y [and x > y]

then we have x + y = ° …… (1)

By problem, x = y + °

⇒ x – y = ° …… (2)

Solving the equations (1) and (2) we get

x + y = °

x - y = °

(+)

x = °
and x =
= °

Substituting x = ° in equation (2) we get

° – y° = °

⇒ y° = ° – ° = °

∴ The angles are ° and °.