Which angle pairs are supplementary? Check all that apply. ∠1 and ∠2 ∠4 and ∠3 ∠4 and ∠5 ∠7 and ∠5 ∠3 and ∠6

Which angle pairs are supplementary Check all that apply 1 and 2 4 and 3 4 and 5 7 and 5 3 and 6 class=

Respuesta :

The pairs of angles that are supplementary are:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Supplementary angles are those angles that can be summed up to 180° when added together.

From the attached diagram,

angles(<) 3, 4, 5, and 6 makes up an angle of a point =  360°

when divided  360° ÷ 2

                      = 180°

Therefore, two angles at that point formed by <3,4,5 and 6 is a total of 180°

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https://brainly.com/question/14941189

T he pairs of angles that are supplementary are:

∠3 and ∠6

∠4 and ∠3

∠4 and ∠5

 

To solve this question, we need to know the meaning of supplementary angles.

By definition, 2 angles are said to be supplementary if they sum up to 180°

From the attached image in the question, we will find the angles that are supplementary to each other.

First of all, from trigonometry, we know that sum of angles on a straight line is 180° .

Thus;

  • we see the straight line accommodating angles 1, 4 & 3. At the point of 3 and 4, they will sum up to 180° as the theorem earlier said. Thus, 3 and 4 are supplementary.

  • we see the straight line accommodating angles 8, 6 & 3. At the point of 3 and 6, they will sum up to 180° as the theorem earlier said. Thus, 3 and 6 are supplementary.

  • Similarly, on the opposite side of that line accommodating angles 8, 6 & 3 and based on same theorem, 4 and 5 will sum up to 180°. Thus,4 and 5 are supplementary.

Read more at; brainly.com/question/4979376