Math, asked by sinas5744, 6 months ago

2. Define Supplementary angles.​

Answers

Answered by rahulram9791
3

Answer:

Two Angles are Supplementary when they add up to 180 degrees.

Hope it helps.

Answered by priyanka0506
3

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Define Supplementary angles.

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Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle

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Extra info :

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{\underline{\sf{\blue{How\: do \:you\: make\: a \:supplementary \:angle}}}}

  • Supplementary Angles

  • Let the measure of one of the supplementary angles be a .

  • Measure of the other angle is 2 times a .

  • So, measure of the other angle is 2a .

  • If the sum of the measures of two angles is 180° , then the angles are supplementary.

  • So, a+2a=180°

  • 3a=180°

  • To isolate a , divide both sides of the equation by 3 .

  • 3a3=180°3 a=60

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{\underline{\sf{\blue{Can \:3\: angles\: be\: supplementary?}}}}

Supplementary angles have two properties: Only two angles can sum to 180° -- three or more angles may sum to 180° or 2 radians, but they are not considered supplementary.

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{\underline{\sf{\blue{Which\: pair\: of\: angles\: must \:be \:supplementary?}}}}

If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary. If two congruent angles form a linear pair, the angles are right angles.

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