23.03.2020

Which of the following are remote interior angles of 1? check all that apply. a. 1 b. 2 c. 3 d. 4 e. 5 f. 6

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17.02.2022, solved by verified expert
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Which of the following are remote interior angles, №15217870, 23.03.2020 01:25

Answer: e. 5, f. 6.

Explanation:

Given: A figure of a triangle.

To find: The remote interior angles of ∠1.

Solution:

Exterior angle theorem: According to this theorem, an exterior angle of a triangle is equal to the sum of the two opposite interiorangles of that triangle.

Those two interior angles of the triangle are called remote interior angles of that exterior angle.

From the given figure it is clear that the ∠1 is an exterior angle, and the two opposite interior angles of the triangle are ∠5 and ∠6.

∠1=∠5+∠6 (Exterior angle theorem).

So, ∠5 and ∠6 are the remote interior angles of ∠1.

Therefore, the correct options are e and f.

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Faq

Mathematics
Step-by-step answer
P Answered by Master

I would say 2,3,4.

Step-by-step explanation:

I hope this helps and i hope this is the right answer

Mathematics
Step-by-step answer
P Answered by Specialist
Hi there!

A remote interior angle is an angle that is located inside a triangle and at the opposite side of another angle. Therefore, every exterior angle has two remote interior angles.

The question asks for the remote interior angles of <1. First we must realise that the angle we're looking for is located inside the triangle. Our possibilities are <3, <4 and <5. Moreover, the angle must be at the opposite side of the exterior angle, and thus <5 isn't a remote interior angle.

The two remote interior angles of <1 are <3 and <4.
Mathematics
Step-by-step answer
P Answered by PhD

B and E

Step-by-step explanation:

The remote interior angles to ∠1 are the 2 opposite interior angles, that is

∠5 and ∠6

Mathematics
Step-by-step answer
P Answered by Specialist

I would say 2,3,4.

Step-by-step explanation:

I hope this helps and i hope this is the right answer

Mathematics
Step-by-step answer
P Answered by PhD

D. \angle 4

F. \angle 6  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.

Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.

We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.

Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.

Mathematics
Step-by-step answer
P Answered by PhD

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

Mathematics
Step-by-step answer
P Answered by Master

The correct options are C and D.

Step-by-step explanation:

The remote interior angles are same as opposite interior angle.

In a triangle the remote angles of an exterior angle are the opposite interior angles of the exterior angle. For each exterior angle we have two remote angles.

Angle 1 is the exterior angle so its has two opposite interior angles.

Angle 3 and 4 are opposite interior angles of angle 1, therefore we can say that the angle 3 and 4 are remote interior angles of 1.

Options C and D are correct.

Mathematics
Step-by-step answer
P Answered by PhD

D. \angle 4

F. \angle 6  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.

Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.

We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.

Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.

Mathematics
Step-by-step answer
P Answered by PhD

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

Mathematics
Step-by-step answer
P Answered by PhD
Remote Interior angles are angles that do not touch the outside angle in any way so the remote Interior angles of 1 are 6 and 5

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