Math, asked by kotaappalanaidugplm, 6 months ago

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Answered by Anonymous
3

Answer:

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Answered by Anonymous
1

Answer:

→Given:

  • An Angle is equal to one third of its supplement

→To Find:

  • Find it's Measure

→Solution:

Supplementary Angles:

A pair of angles whose sum is 180° is called Supplementary Angles

Let the angle be x

Supplement of x = 180°-x

We are given that the An angle is equal to one third of its supplement

x =  \frac{180 - x}{3}  \\  =  > 3x  = 180 - x \\  =  > 3x + x = 180 \\ 4x = 180 \\  =  > x =   \frac{180}{4}  = 45

Therefore,

 supplementary \: angle \:  =  {45}^{o}

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