Mathematics, 12.11.2019 07:31 pedro48

Identify the pair of alternate exterior angles

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Answer from: aderahd7352

The $\bf{\angle 2}$ and $\bf{\angle 8}$ are the alternate exterior angles.

Further explanation:

If two parallel lines intersected by a third line called as a transversal line, it froms eight angles as shown in Figure 1.

The eight angles will together form four pairs of corresponding angles.

$\angle 1$ and $\angle 5$ constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.e.g. $\angle3+\angle7$ , $\angle2+\angle6$ , $\angle4+\angle8$ .

Angles that are in the area between the parallel lines like $\angle 4$ and $\angle6$ above are called interior angles whereas the angles that are on the outside of the two parallel lines like $\angle1$ and $\angle8$ are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles.e.g. $\angle1+\angle7$ .

All the angles that are either exterior pair of angles, interior pair of angles, alternate pair of angles or corresponding pair of angles are all congruent.

From the given figure, it is observed that the $\angle 1+\angle7$ and $\angle 2+\angle8$ are alternate exterior angles.

Therefore, $\bf{\angle 2}$ and $\bf{\angle 8}$ are the alternate exterior angles.

Learn more:

1. Which rule describes the transformation?

2. Which undefined term is needed to define an angle?

3. Look at the figure, which trigonometric ratio should you use to find x?

Answer Details :

Grade: Senior School

Subject: Mathematics

Chapter: Geometry.

Keywords:

Angle ,interior angle, exterior angles, alternate angles, corresponding angles, transversal lines, parallel lines, triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, angle A, angle B, angle C.

Identify the pair of alternate exterior angles

Answer from: Quest

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

Answer from: Quest

answer: the first graph

step-by-step explanation:

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Identify the pair of alternate exterior angles

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