Question

if two supplementary angles are in ratio 1 : 3, find the bigger angle​

Answer 1

Given that,

2 supplementary angles are in ratio 1 : 3.

We need to find the bigger angle.

Let the first angle be x and second angle be 3x.

We know that,

❒ Sum of supplementary angles = 180∘ ❒

➙ x + 3x = 180∘

➙ 4x = 180∘

➙ x = 45∘

• x = 45∘
• 3x = 135∘

Hence, the angles are 45 and 135 degrees, respectively.