Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle

Question

1? (1 point)
• alternate interior angles
• alternate exterior angles
• vertical angles
• corresponding angles

Answer 1

To determine the relationship between angle 5 and angle 1 when parallel lines are cut by a transversal, we need to consider the positions of these angles.

If angle 1 is located in one of the corners formed by the intersection of the transversal with one of the parallel lines, and angle 5 is located in the interior opposite corner formed by the transversal intersecting the other parallel line, then angle 5 and angle 1 would be classified as alternate interior angles.

Therefore, the correct relationship is alternate interior angles.

Answer 2

What is the relationship between angle 3 and angle 6?
(1 point)
• alternate exterior angles
• alternate interior angles
• corresponding angles
• vertical angles

Answer 3

To determine the relationship between angle 3 and angle 6, we need to analyze their positions in relation to two parallel lines and a transversal.

• If angle 3 is located in the interior of one of the parallel lines, and angle 6 is located in the exterior of the same transversal but on the opposite side of the parallel lines, then angle 3 and angle 6 are alternate exterior angles.

Thus, the correct relationship is alternate exterior angles.

Answer 4

If angle 1 in the picture is 63°, what is the measure of angle 3? Why?
(1 point)
• There is not enough information in the figure to establish this.
• Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
O Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
• Angle 3 is 117° because angle 1 and angle 3 form a line.

Answer 5

To determine the measure of angle 3 given that angle 1 measures 63°, we need to consider the position of the angles in relation to the parallel lines and the transversal.

If angle 1 is given as 63°, the relevant relationships could fall into a few categories:

1. If angle 3 is positioned directly opposite angle 1 (i.e., they share the same vertex and are formed by the same transversal), then angle 3 and angle 1 are vertical angles and must be equal, making angle 3 also 63°.

2. If angle 3 is located on the same side of the transversal as angle 1 (but not opposite), and they are corresponding angles, then angle 3 would also be 63°.

3. If angle 3 is adjacent to angle 1, then they would be consecutive interior angles, which means angle 3 would equal 180° - 63° = 117°.

Since the question does not specify the positions of angle 3 and angle 1, the most likely relevant answer given that they are most commonly adjacent or corresponding would likely involve the first option:

Angle 3 is 63° because angle 1 and angle 3 are vertical angles.

If angle 3 were indeed vertical to angle 1, it would also be 63° based on the vertical angles theorem. If they are corresponding, then it would also be 63°.

So, without a specific figure, the best assumption based on standard geometric properties would be that angle 3 is also 63° if they are vertically positioned or corresponding.

Answer 6

Just pick one of the answers

Answer 7

Angle 3 is 63° because angle 1 and angle 3 are vertical angles.

Answer 8

Calculate the supplement of an angle that measures 85°. (1 point)
• The supplement of the angle is 85° because supplementary angles are
congruent.
• The supplement is 95° because 180° - 85° = 95°.
• The supplement of the angle is 5° because 90° - 85° = 5°.
• The supplement of the angle is - 95° because 85° - 180° = -95°

Answer 9

The supplement of an angle is found by subtracting the angle from 180°. Therefore, to calculate the supplement of an angle that measures 85°, the calculation is:

\[ 180° - 85° = 95° \]

Thus, the correct answer is:

The supplement is 95° because 180° - 85° = 95°.

Answer 10

Which angles are congruent to <4?
(1 point)
• L5 is congruent to <4.
• <1 is congruent to <4.
O <1, L5 and 28 are congruent to <4.
• L2 is congruent to <4.

Answer 11

To determine which angles are congruent to angle \(4\), we need to analyze their positions relative to angle \(4\) in the context of parallel lines cut by a transversal, or any other relevant geometric configuration.

Without a specific diagram or additional context, it’s difficult to definitively answer the question. However, common relationships based on typical geometric configurations include:

• Vertical angles (angles opposite each other when two lines cross are congruent).
• Corresponding angles (angles in the same position on different parallel lines are congruent).
• Alternate interior angles (angles on opposite sides of the transversal but inside the parallel lines are congruent).

Given the options:

1. L5 is congruent to <4.
2. <1 is congruent to <4.
3. <1, L5 and 28 are congruent to <4.
4. L2 is congruent to <4.

If any of these angles are either vertically opposite angle \(4\), corresponding to angle \(4\), or alternate interior angles with angle \(4\), then they would be congruent.

Based on typical angular relationships, the most comprehensive answer is likely:

<1, L5 and 28 are congruent to <4.

This is assuming that the angles <1, L5, and 28 are positioned such that they are all in correspondent positions or relevant relationships to angle 4. If you have specific positions of the angles, please share, and I can provide a clearer answer.