Adjacent angles part

1) The correct word for the definition "a line that crosses at least two other lines" is transversal. A transversal is a line that intersects two or more other lines at distinct points.

2) The correct word for the definition "angles on the opposite sides of the transversal and outside the two parallel lines" is alternate exterior angles. Alternate exterior angles are formed when a transversal intersects two parallel lines, and they are located on opposite sides of the transversal and outside the parallel lines.

3) The correct word for the definition "angles on the same side of the transversal and in between the two parallel lines" is same side interior angles. Same side interior angles are formed when a transversal intersects two parallel lines, and they are located on the same side of the transversal and between the parallel lines.

4) The correct word for the definition "two angles next to each other sharing a common side and vertex" is adjacent angles. Adjacent angles are angles that have a common side and a common vertex between them.

5) The correct word for the definition "angles on the same side of the transversal and outside the two parallel lines" is same side exterior angles. Same side exterior angles are formed when a transversal intersects two parallel lines, and they are located on the same side of the transversal and outside the parallel lines.

6) The correct word for the definition "angles on the same side of the transversal and on the same side of each parallel line" is same side interior angles. Same side interior angles are formed when a transversal intersects two parallel lines, and they are located on the same side of the transversal and on the same side of each parallel line.

7) The correct word for the definition "angles on the opposite sides of the transversal and in between the two parallel lines" is alternate interior angles. Alternate interior angles are formed when a transversal intersects two parallel lines, and they are located on opposite sides of the transversal and between the parallel lines.

8) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are congruent to each other are alternate interior angles (also known as corresponding angles). Congruent means equal in measure.

9) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are supplementary to each other (add up to 180 degrees) are same side interior angles.

10) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are congruent to each other are alternate exterior angles.

11) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are supplementary to each other (add up to 180 degrees) are corresponding angles.

12) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are congruent to each other are same side exterior angles.

13) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are congruent to each other are alternate interior angles.

14) Based on Example 2 in the Lesson text, the pair of angles that fits the given description and are supplementary to each other (add up to 180 degrees) are vertical angles.

15) From the given figure, the measure of angle 57 is vertical to angle 2. Vertical angles are formed when two lines intersect, and their opposite angles are congruent. So, the measure of angle 57 is congruent to the measure of angle 2.

a. Two adjacent angles can be complementary

This is another way of saying two angles next to each other add to 90 degrees. In other words, two angles touching each other forming a corner.

Two adjacent angles can be supplementary, so choice B is false.

An acute angle is always adjacent to an obtuse angle, so choice C is false.

Two right angles can be adjacent, and they would form a straight (180 degree) angle, so that's why choice D is false.

a. Two adjacent angles can be complementary

This is another way of saying two angles next to each other add to 90 degrees. In other words, two angles touching each other forming a corner.

Two adjacent angles can be supplementary, so choice B is false.

An acute angle is always adjacent to an obtuse angle, so choice C is false.

Two right angles can be adjacent, and they would form a straight (180 degree) angle, so that's why choice D is false.

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

1. An angle that is between 0° and 90° is an ACUTE ANGLE.
2. Angles, segments, triangles, etc that have exactly the same measures are CONGRUENT.
3. Two angles that add up to 180° are SUPPLEMENTARY ANGLES.
4. Angles that are opposite to one another at the intersection of two lines are VERTICAL ANGLES.
5. Two angles in a common plane which share a common Bertrand a common side but do not overlap are ADJACENT ANGLES.
6. Two angles that add up to 180° that share a common vertex are ADJACENT SUPPLEMENTARY ANGLES.
7. Two angles that are located between two coplanar lines on opposite sides of the transversal are ALTERNATE INTERIOR ANGLES.
8. Two angles that are located outside two coplanar lines on opposite sides of the transversal are ALTERNATE EXTERIOR ANGLES.
9. Two angles that are located between two coplanar lines on the same side of the transversal are CONSECUTIVE INTERIOR ANGLES.
10. Two angles that are formed by two coplanar lines and a transversal and occupy the same relative positions are CORRESPONDING ANGLES.
11. An angle that is 180° is a STRAIGHT ANGLE.