Question

the larger of two supplementary angles exceeds the smaller by 18 Degrees find them? ​

Answer 1

Let the larger angle by x⁰ and smaller angle be y⁰.

We know that the sum of two supplementary pair of angles is always 180⁰.

x + y = 180⁰ [1]

x = 180⁰ - y⁰ [2]

x – y = 18⁰ [3]

Finally,Substituting (2) in (3), we get

→ 180⁰ – y⁰ – y =18⁰

→ 180⁰ – 2y = 18⁰

→ 162⁰ = 2y

→ 162/2 = y

→ y = 81⁰

Using the value of y in [2], we get

→ x = 180⁰ – 81⁰

→ x = 99⁰

Hence,

The Supplimentary angles are 99⁰ and 81⁰ Respectively.