Question

two angles are supplementary . if one of them is one third of the other find the angle​

Answer 1

Step-by-step explanation:

● Let the first supplementary angle be x .Then,

● second angle = 1x/3

Sum of the supplementary angles = 180°

Now,

x+x/3 = 180°

4x/3 = 180°

4x = 180°×3

4x = 540°

x = 540°/4

x = 135°

therefore, second angle--

= 1/3 ×135°

= 45°

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Answer 2

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Let the first supplementary angle be x

Then, second angle = 1x/3

Sum of the supplementary angles = 180°

Now,

x + x/3 = 180°

4x/3 = 180°

4x = 180°x3

4x = 540°

x = 540°/4

x = 135°

therefore, second angle -

= 1/3 × 135°

= 45°