Mathematics, 15.07.2019 07:30 giulissaf

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

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Answer from: sindy35111

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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Answer from: harlem3166

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.

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