Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles.

Answers:

1- An exterior angle and its adjacent one are supplementary

2- The measure of the exterior angle is equal to the summation of the other two non-adjacent interior angles

Explanation:

Please refer to the attached image

Part 1:

In the given triangle, consider angles 3 and 4.

Now, these two angles are adjacent and form a linear pair. This means that their summation is 180° which means that they are supplementary angles.

We can also note that angle 3 is an interior angle of the triangle while angle 4 is an exterior angle of the triangle.

Therefore, we can conclude that:

An exterior angle and its adjacent one are supplementary

Part 2:

We know that:

1- sum of angles of a triangle is 180°. Therefore:

angle 1 + angle 2 + angle 3 = 180°

2- angle 3 and angle 4 are supplementary angles. Therefore:

angle 3 + angle 4 = 180°

angle 3 = 180 - angle 4

We can now rewrite the sum of angles of a triangle as follows:

angle 1 + angle 2 + 180 - angle 4 = 180

Now, we solve as follows:

angle 1 + angle 2 - angle 4 = 0

angle 1 + angle 2 = angle 4

Since:

angles 1 and 2 are interior angles of the triangle and are non-adjacent to the exterior angle

angle 4 is an exterior angle of the triangle

Therefore, we can conclude that:

The measure of the exterior angle is equal to the summation of the other two non-adjacent interior angles

Hope this helps :)

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it